Nicholas Higham

Q: What Schools Are Affiliated With Nicholas Higham

Nicholas Higham is affiliated with the following schools: Victoria University of Manchester, University of Dundee, University of Manchester

Nicholas Higham's AcademicInfluence.com Rankings

Nicholas Higham

Mathematics

#1069

World Rank

#1826

Historical Rank

Applied Mathematics

#31

World Rank

#35

Historical Rank

Measure Theory

#262

World Rank

#409

Historical Rank

mathematics Degrees

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Mathematics

Nicholas Higham's Degrees

PhD Numerical Analysis University of Manchester

Why Is Nicholas Higham Influential?

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According to Wikipedia, Nicholas John Higham FRS is a British numerical analyst. He is Royal Society Research Professor and Richardson Professor of Applied Mathematics in the Department of Mathematics at the University of Manchester.

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Nicholas Higham's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Accuracy and stability of numerical algorithms (1999) (3554)
Functions of matrices - theory and computation (2008) (2076)
Computing the nearest correlation matrix—a problem from finance (2002) (845)
COMPUTING A NEAREST SYMMETRIC POSITIVE SEMIDEFINITE MATRIX (1988) (679)
The Scaling and Squaring Method for the Matrix Exponential Revisited (2005) (672)
Accuracy and stability of numerical algorithms, Second Edition (2002) (454)
Functions Of Matrices (2008) (435)
Computing the polar decomposition with applications (1986) (430)
Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators (2011) (416)
NLEVP: A Collection of Nonlinear Eigenvalue Problems (2013) (325)
The numerical stability of barycentric Lagrange interpolation (2004) (322)
MATRIX NEARNESS PROBLEMS AND APPLICATIONS (1989) (302)
Matlab guide (2000) (293)
The Accuracy of Floating Point Summation (1993) (292)
A New Scaling and Squaring Algorithm for the Matrix Exponential (2009) (290)
Computing real square roots of a real matrix (1987) (222)
Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics) (2008) (194)
FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation (1988) (190)
Analysis of the Cholesky Decomposition of a Semi-definite Matrix (1990) (178)
Stable iterations for the matrix square root (1997) (170)
A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra (2000) (168)
A Schur-Parlett Algorithm for Computing Matrix Functions (2003) (164)
Structured Pseudospectra for Polynomial Eigenvalue Problems, with Applications (2001) (162)
Newton's method for the matrix square root (1986) (161)
Computing A, log(A) and Related Matrix Functions by Contour Integrals (2007) (160)
Numerical analysis of a quadratic matrix equation (2000) (150)
Harnessing GPU Tensor Cores for Fast FP16 Arithmetic to Speed up Mixed-Precision Iterative Refinement Solvers (2018) (142)
Symmetric Linearizations for Matrix Polynomials (2006) (141)
Approximating the Logarithm of a Matrix to Specified Accuracy (2000) (138)
The Conditioning of Linearizations of Matrix Polynomials (2006) (138)
Computing AAlpha, log(A), and Related Matrix Functions by Contour Integrals (2008) (136)
Structured Backward Error and Condition of Generalized Eigenvalue Problems (1999) (133)
Exploiting fast matrix multiplication within the level 3 BLAS (1990) (127)
Handbook of writing for the mathematical sciences (1993) (127)
Backward Error and Condition of Structured Linear Systems (1992) (126)
Solving a Quadratic Matrix Equation by Newton's Method with Exact Line Searches (2001) (124)
Backward Error of Polynomial Eigenproblems Solved by Linearization (2007) (122)
Accelerating the Solution of Linear Systems by Iterative Refinement in Three Precisions (2018) (121)
Rome, Britain, and the Anglo-Saxons (1992) (117)
Computing matrix functions (2010) (117)
Numerically Stable Generation of Correlation Matrices and Their Factors (2000) (110)
J-Orthogonal Matrices: Properties and Generation (2003) (110)
A Modified Cholesky Algorithm Based on a Symmetric Indefinite Factorization (1998) (107)
Cholesky factorization (2011) (107)
Algorithms for the matrix pth root (2005) (103)
The matrix sign decomposition and its relation to the polar decomposition (1994) (101)
Bounds for eigenvalues of matrix polynomials (2003) (101)
Fast Polar Decomposition of an Arbitrary Matrix (1990) (98)
Matlab guide, Second Edition (2005) (97)
Iterative Solution of a Nonsymmetric Algebraic Riccati Equation (2007) (94)
Stability of methods for matrix inversion (1992) (93)
Error analysis of the Björck-Pereyra algorithms for solving Vandermonde systems (1987) (90)
Stable and Efficient Spectral Divide and Conquer Algorithms for the Symmetric Eigenvalue Decomposition and the SVD (2013) (88)
A New Analysis of Iterative Refinement and Its Application to Accurate Solution of Ill-Conditioned Sparse Linear Systems (2017) (80)
Stability analysis of algorithms for solving confluent Vandermonde-like systems (1990) (80)
Perturbation theory and backward error forAX−XB=C (1993) (80)
A Preconditioned Newton Algorithm for the Nearest Correlation Matrix (2010) (80)
More on pseudospectra for polynomial eigenvalue problems and applications in control theory (2002) (79)
A Survey of Componentwise Perturbation Theory in Numerical Linear Algebra (1994) (79)
Computing the Fréchet Derivative of the Matrix Exponential, with an Application to Condition Number Estimation (2008) (78)
Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems (2002) (78)
UManSysProp v1.0: an online and open-source facility for molecular property prediction and atmospheric aerosol calculations (2016) (77)
A Schur-Newton Method for the Matrix \lowercase{\boldmathp}th Root and its Inverse (2006) (76)
Large growth factors in Gaussian elimination with pivoting (1989) (76)
Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm (2012) (75)
Anglo-Saxon Oxfordshire (1994) (75)
Stability of block algorithms with fast level-3 BLAS (1992) (74)
On pth Roots of Stochastic Matrices (2011) (72)
Stability of block LU factorization (1995) (69)
Blocked Schur Algorithms for Computing the Matrix Square Root (2012) (68)
Optimization by direct search in matrix computations (1993) (68)
Fast Solution of Vandermonde-Like Systems Involving Orthogonal Polynomials (1988) (67)
Algorithm 694: a collection of test matrices in MATLAB (1991) (66)
Computing the field of values and pseudospectra using the Lanczos method with continuation (1996) (65)
The symmetric procrustes problem (1988) (65)
Scaling, sensitivity and stability in the numerical solution of quadratic eigenvalue problems (2008) (64)
A New Approach to Probabilistic Rounding Error Analysis (2019) (64)
The complex step approximation to the Fréchet derivative of a matrix function (2009) (63)
Functions Preserving Matrix Groups and Iterations for the Matrix Square Root (2005) (63)
The Princeton companion to applied mathematics (2015) (63)
A Schur-Padé Algorithm for Fractional Powers of a Matrix (2011) (63)
Solving the Indefinite Least Squares Problem by Hyperbolic QR Factorization (2002) (61)
Computing the Fréchet Derivative of the Matrix Logarithm and Estimating the Condition Number (2013) (61)
The accuracy of solutions to triangular systems (1989) (60)
The Convert Kings: Power and Religious Affiliation in Early Anglo-Saxon England (1997) (58)
An Improved Schur-Padé Algorithm for Fractional Powers of a Matrix and Their Fréchet Derivatives (2013) (58)
The Design and Performance of Batched BLAS on Modern High-Performance Computing Systems (2017) (57)
Evaluating Padé Approximants of the Matrix Logarithm (2000) (56)
Improved error bounds for underdetermined system solvers (1993) (56)
Estimating the matrixp-norm (1992) (55)
A SCHUR–NEWTON METHOD FOR THE MATRIX PTH ROOT AND ITS INVERSE∗ (2005) (55)
An English Empire: Bede and the Early Anglo-Saxon Kings (1998) (54)
The sensitivity of computational control problems (2004) (53)
Efficient algorithms for the matrix cosine and sine (2005) (50)
The Test Matrix Toolbox for MATLAB (1993) (50)
Computing f (A)b for matrix functions f (2005) (48)
Experience with a Matrix Norm Estimator (1990) (46)
Adaptive precision in block‐Jacobi preconditioning for iterative sparse linear system solvers (2019) (45)
Simulating Low Precision Floating-Point Arithmetic (2019) (45)
Block LU factorization (1992) (44)
Anderson acceleration of the alternating projections method for computing the nearest correlation matrix (2016) (44)
Modifying the inertia of matrices arising in optimization (1998) (44)
Iterative refinement enhances the stability ofQR factorization methods for solving linear equations (1991) (44)
Computing the Polar Decomposition and the Matrix Sign Decomposition in Matrix Groups (2004) (43)
Review ofMatrix computations: Second edition by G.H. Golub and C.F. Van Loan☆ (1990) (43)
Perturbation Theory And Backward Error For (1993) (43)
A Parallel Algorithm for Computing the Polar Decomposition (1994) (42)
Analysis of the Cholesky Method with Iterative Refinement for Solving the Symmetric Definite Generalized Eigenproblem (2001) (42)
Iterative refinement for linear systems and LAPACK (1997) (42)
Squeezing a Matrix into Half Precision, with an Application to Solving Linear Systems (2019) (41)
Computing a Nearest Correlation Matrix with Factor Structure (2010) (40)
Performance analysis of asynchronous Jacobi’s method implemented in MPI, SHMEM and OpenMP (2014) (40)
A framework for analyzing nonlinear eigenproblems and parametrized linear systems (2011) (39)
Accuracy and Stability of the Null Space Method for Solving the Equality Constrained Least Squares Problem (1999) (39)
A survey of numerical linear algebra methods utilizing mixed-precision arithmetic (2021) (39)
Bounding the error in Gaussian Elimination for Tridiagonal systems (1990) (38)
King Arthur: Myth-Making and History (2002) (38)
Definite Matrix Polynomials and their Linearization by Definite Pencils (2009) (38)
Numerical Computation: Methods, Software, And Analysis (1998) (38)
Stochastic Rounding and Its Probabilistic Backward Error Analysis (2020) (37)
Efficient algorithms for computing the condition number of a tridagonal matrix (1986) (37)
A Proposed API for Batched Basic Linear Algebra Subprograms (2016) (37)
Constantius, St Germanus and fifth‐century Britain (2014) (36)
Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems (2008) (36)
A Collection of Test Matrices in MATLAB (1989) (36)
Factorizing complex symmetric matrices with positive definite real and imaginary parts (1998) (36)
An Improved Arc Algorithm for Detecting Definite Hermitian Pairs (2009) (36)
Stability of Householder QR Factorization for Weighted Least Squares Problems (2010) (34)
Stability of a Method for Multiplying Complex Matrices with Three Real Matrix Multiplications (1992) (34)
Computing the Matrix Cosine (2003) (34)
New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously (2015) (34)
QR factorization with complete pivoting and accurate computation of the SVD (2000) (34)
Early Latin Sources: Fragments of a Pseudo‐Historical Arthur (2009) (33)
LINEAR ALGEBRA (Pure and Applied Mathematics) (1999) (33)
A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic (2020) (32)
(re-)Reading Bede: The Ecclesiastical History in Context (2006) (31)
Gaussian elimination (2011) (31)
Mixed Precision Block Fused Multiply-Add: Error Analysis and Application to GPU Tensor Cores (2020) (29)
Accurately computing the log-sum-exp and softmax functions (2020) (29)
Applications of matrix theory , edited by M. J. C. Gover and S. Barnett. Pp 324. £40. 1989. ISBN 0-19-853625-9 (Oxford University Press) (1990) (28)
Componentwise perturbation theory for linear systems with multiple right-hand sides (1992) (28)
The Canonical Generalized Polar Decomposition (2010) (27)
Covariance structure regularization via entropy loss function (2014) (27)
Stability of Parallel Triangular System Solvers (1995) (27)
The nearest definite pair for the Hermitian generalized eigenvalue problem (1999) (27)
The Anglo-Saxon World (2013) (27)
Stability of block LDLT factorization of a symmetric tridiagonal matrix (1999) (26)
Detecting the causes of ill-conditioning in structural finite element models (2014) (26)
A Catalogue of Software for Matrix Functions. Version 1.0 (2014) (26)
Matching exponential-based and resolvent-based centrality measures (2016) (25)
Backward Stability of Iterations for Computing the Polar Decomposition (2012) (25)
Mixed-precision iterative refinement using tensor cores on GPUs to accelerate solution of linear systems (2020) (25)
Algorithm 674: Fortran codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation (1989) (24)
Matrix Powers in Finite Precision Arithmetic (1995) (23)
Higher Order Fréchet Derivatives of Matrix Functions and the Level-2 Condition Number (2014) (23)
Computing the Nearest Correlation Matrix (2000) (23)
NLEVP: A Collection of Nonlinear Eigenvalue Problems. Users' Guide (2011) (23)
COMPONENTWISE ERROR ANALYSIS FOR STATIONARY ITERATIVE METHODS (1993) (22)
Row-Wise Backward Stable Elimination Methods for the Equality Constrained Least Squares Problem (1999) (22)
Old light on the Dark Age landscape: the description of Britain in the De Excidio Britanniae of Gildas (1991) (22)
6. Matrix Square Root (2008) (21)
Sharper Probabilistic Backward Error Analysis for Basic Linear Algebra Kernels with Random Data (2020) (21)
MATLAB Guide, Third Edition (2016) (21)
Backward Error Bounds for Constrained Least Squares Problems (1999) (21)
How Accurate is Gaussian Elimination (1989) (20)
The Test Matrix Toolbox for Matlab (Version 3.0) (2013) (20)
Restoring Definiteness via Shrinking, with an Application to Correlation Matrices with a Fixed Block (2016) (20)
The Test Matrix Toolbox for Matlab (Version 3.0) (2013) (20)
A Class of Fast and Accurate Summation Algorithms (2020) (19)
The Equality Constrained Indefinite Least Squares Problem: Theory and Algorithms (2003) (19)
An Algorithm for the Matrix Lambert W Function (2015) (18)
Apartheid and Economics in Anglo-Saxon England (2012) (17)
Multiprecision Algorithms for Computing the Matrix Logarithm (2018) (17)
A Frontier Landscape: The North West in the Middle Ages (2004) (17)
A New Preconditioner that Exploits Low-Rank Approximations to Factorization Error (2018) (17)
Matrix Depot: an extensible test matrix collection for Julia (2016) (17)
Why Don't the English Speak Welsh? (2012) (17)
Numerical behavior of NVIDIA tensor cores (2020) (17)
An Arbitrary Precision Scaling and Squaring Algorithm for the Matrix Exponential (2019) (17)
Frontier, Forts and Farmers (1975) (16)
LAPACK-Style Codes for Pivoted Cholesky and QR Updating (2006) (16)
Implementation for LAPACK of a Block Algorithm for Matrix 1-Norm Estimation (2001) (16)
Stochastic rounding: implementation, error analysis and applications (2022) (16)
Three-Precision GMRES-Based Iterative Refinement for Least Squares Problems (2020) (16)
Finite Precision Behavior of Stationary Iteration for Solving Singular Systems (1993) (16)
Stability of the Diagonal Pivoting Method with Partial Pivoting (1997) (16)
Exploiting Lower Precision Arithmetic in Solving Symmetric Positive Definite Linear Systems and Least Squares Problems (2019) (15)
Stability of the Partitioned Inverse Method for Parallel Solution of Sparse Triangular Systems (1994) (15)
An algorithm to compute the polar decomposition of a 3 × 3 matrix (2016) (15)
The Origins of Cheshire (1993) (15)
The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential (2014) (15)
The Matrix Computation Toolbox for MATLAB (Version 1.0) (2002) (14)
Archaeology of the Roman Empire: a tribute to the life and works of Professor Barri Jones (2001) (14)
Accurate Computation of the Log-Sum-Exp and Softmax Functions (2019) (13)
Reducing the influence of tiny normwise relative errors on performance profiles (2013) (13)
Britons in Anglo-Saxon England (2012) (13)
Computing the Action of Trigonometric and Hyperbolic Matrix Functions (2016) (13)
A Set of Batched Basic Linear Algebra Subprograms and LAPACK Routines (2021) (13)
Mobile and personal communications: The European commission's green paper (1994) (13)
Explicit solutions to correlation matrix completion problems, with an application to risk management and insurance (2017) (12)
What Britons Spoke around 400 AD (2012) (12)
Numerical algorithms for high-performance computational science (2020) (12)
Estimating the Largest Elements of a Matrix (2016) (12)
Mixed precision algorithms in numerical linear algebra (2022) (12)
Romano-British Metalworking and the Anglo-Saxons (2012) (11)
Broadband regulation. The OFTEL Consultative Document: Beyond the telephone, the television and the PC (1996) (11)
The landscape archaeology of Anglo-Saxon England (2010) (11)
A Survey of Componentwise Perturbation Theory (1994) (11)
Functions of a Matrix: Theory and Computation (2006) (11)
Computing error bounds for regression problems (1990) (11)
Wasperton: a Roman, British and Anglo-Saxon community in central England . By Martin Carver, Catherine Hills and Jonathan Scheschkewitz. 285mm. Pp x+372, col, b&w ills. Woodbridge: Boydell, 2009. ISBN 9781843834274. £60 (hbk). (2010) (10)
Five-Precision GMRES-based iterative refinement (2021) (10)
A Multiprecision Derivative-Free Schur-Parlett Algorithm for Computing Matrix Functions (2021) (10)
Optimized Batched Linear Algebra for Modern Architectures (2017) (10)
Edward the Elder : 899-924 (2001) (10)
Computing the Wave-Kernel Matrix Functions (2018) (10)
Testing Matrix Function Algorithms Using Identities (2016) (9)
Solving block low-rank linear systems by LU factorization is numerically stable (2021) (9)
A NEW PARALLEL ALGORITHM FOR COMPUTING THE SINGULAR-VALUE DECOMPOSITION (1994) (9)
The Excavation of two Romano-British Farm Sites in North Cumbria (1983) (9)
Estimating the Condition Number of the Fréchet Derivative of a Matrix Function (2014) (9)
Bounds for the Distance to the Nearest Correlation Matrix (2016) (8)
Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: Theory and Algorithms (2016) (8)
24. The Fast Fourier Transform and Applications (2002) (8)
Investigating the Performance of Asynchronous Jacobi's Method for Solving Systems of Linear Equations (2011) (8)
Parallel Singular Value Decomposition via the Polar Decomposition (2006) (8)
Settlement, land use and Domesday ploughlands (1990) (7)
Britons in Anglo-Saxon England: An Introduction (2012) (7)
The Death Of Anglo-Saxon England (1997) (7)
Matrix Functions: A Short Course (2013) (7)
Mixed-Precision Solution of Linear Systems Using Accelerator-Based Computing (2020) (7)
Explicit Formulas for the Results of Gaussian Elimination (1995) (7)
Tradition and Transformation in Anglo‐Saxon England: Archaeology, Common Rights and Landscape. By Susan Oosthuizen. London and New York: Bloomsbury Academic. 2013. xii + 251 pp. £55. ISBN 9781472507273. (2014) (6)
Welsh Territories and Welsh Identities in Late Anglo-Saxon England (2012) (6)
The Northern Counties to AD 1000 (Regional History of England) (1986) (6)
Recent Developments in Dense Numerical Linear Algebra (1997) (6)
Bede's Agenda in Book IV of the ‘Ecclesiastical History of the English People’: A Tricky Matter of Advising the King (2013) (6)
The Anglo-Saxon/British interface: History and Ideology (2002) (6)
An Updated Set of Nonlinear Eigenvalue Problems (2019) (6)
Random Matrices Generating Large Growth in LU Factorization with Pivoting (2020) (6)
Paa2 Deliverable Apparc Esprit Contract a Strassen-type Matrix Inversion Algorithm (1993) (6)
Matrix Condition Numbers (1983) (6)
5. Matrix Sign Function (2008) (6)
Landscape and land use in northern England: a survey of agricultural potential, c. 500 B.C.-A.D. 1000 (1987) (5)
Batched BLAS (Basic Linear Algebra Subprograms) 2018 Specification (2018) (5)
A Recursive Blocked Schur Algorithm for Computing the Matrix Square Root (2012) (5)
Liberalization of telecommunications infrastructure and cable television networks: The European Commission's Green Paper (1995) (5)
Matrix Multiplication in Multiword Arithmetic: Error Analysis and Application to GPU Tensor Cores (2023) (5)
Notes on Accuracy and Stability of Algorithms in Numerical Linear Algebra (1999) (5)
Britons in Northern England in the Early Middle Ages: Through a Thick Glass Darkly (2001) (5)
Sylvester's Influence on Applied Mathematics (2014) (4)
Anymatrix: an extensible MATLAB matrix collection (2021) (4)
Combining Sparse Approximate Factorizations with Mixed-precision Iterative Refinement (2023) (4)
Testing linear algebra software (1996) (4)
The Tatton Park Project Part I: Prehistoric to Sub-Roman Settlement and Land Use (1999) (4)
British Wives and Slaves? Possible Romano-British techniques in 'Women's Work (2007) (4)
Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative (2022) (4)
Performance impact of precision reduction in sparse linear systems solvers (2022) (4)
The Domesday Survey: Context and Purpose (1993) (4)
An Interview with Peter Lancaster (2005) (4)
Numerical Conditioning ∗ (2013) (4)
Developing a High-Performance Computing/Numerical Analysis Roadmap (2009) (4)
The Rise of Multiprecision Arithmetic (2017) (4)
The kingdom of Northumbria (1993) (4)
Cayley, Sylvester, and Early Matrix Theory (2008) (4)
From sub-Roman Britain to Anglo-Saxon England: Debating the Insular Dark Ages (2004) (4)
Open network provision in the EC (1993) (4)
Return to the Middle Ages: A Half-Angle Iteration for the Logarithm of a Unitary Matrix (2000) (3)
LAPACK Working Note 23: Improved Error Bounds for Underdetermined System Solvers (1990) (3)
Literary Evidence for Villas, Towns and Hillforts in Fifth-Century Britain (1994) (3)
UManSysProp: an online facility for molecular property prediction and atmospheric aerosol calculations (2015) (3)
Handbook of Writing for the Mathematical Sciences.@@@A Primer of Mathematical Writing. (1998) (3)
Place-names, language and the Anglo-Saxon landscape (2011) (3)
Digital media : contracts, rights and licensing (1998) (3)
Generating Extreme-Scale Matrices With Specified Singular Values or Condition Number (2020) (3)
The English conquest (1994) (3)
2. Floating Point Arithmetic (2002) (3)
Matrices with Tunable Infinity-Norm Condition Number and No Need for Pivoting in LU Factorization (2020) (3)
Information technology: Critical choices for library decision-makers : A. Kent and T.J. Galvin (editors). New York: Dekker, 1982. 477 pp. ISBN 0 8247 1737 6 (1985) (2)
Continuity Studies in the First Millennium A.D. in North Cumbria (1978) (2)
The Norman Conquest (1998) (2)
Nearness Problems in Numerical Linear Algebra (1985) (2)
Notes on Hyperbolic Matrix Polynomials and Definite Linearizations (2007) (2)
Medieval 'overkingship' in Wales : the earliest evidence / (1992) (2)
Ward Stars—applauding HCAs working in mental health wards (2014) (2)
Edward the Elder and the Churches of Winchester and Wessex (2001) (2)
MATLAB: A Tool for Teaching and Research (1990) (2)
Ranking the Importance of Nuclear Reactions for Activation and Transmutation Events (2015) (2)
The Tatton Park Project, Part 2: The Medieval Estates, Settlements and Halls (2001) (2)
Stability of Methods for Matrix (1992) (2)
Integer matrix factorisations, superalgebras and the quadratic form obstruction (2021) (2)
KING CEARL, THE BATTLE OF CHESTER AND THE ORIGINS OF THE MERClAN ‘OVERKINGSHIP’ (1992) (2)
Optimizing and Factorizing the Wilson Matrix (2022) (2)
28. A Gallery of Test Matrices (2002) (1)
20. Optimizing M-Files (2005) (1)
Final Report on EPSRC Grant GR / R 22612 / 01 : Numerical Analysis of Matrix Functions (2004) (1)
Bibliography of Handbook of Writing for the Mathematical Sciences, Second Edition, SIAM, 1998 (2002) (1)
Parallel Implementation of a Block Algorithm for Matrix 1-Norm Estimation (2001) (1)
Book Review: Spectra and pseudospectra: The behavior of nonnormal matrices and operators (2006) (1)
Bacchus triumphs on the North Downs: the Polesden Lacey sarcophagus (2001) (1)
Can You Count on Your Correlation Matrix (2006) (1)
Chapter 1 Theory of Matrix Functions from "functions of Matrices: Theory and Computation" (1)
Wearmouth and Jarrow: Northumbrian Monasteries in an Historic Landscape, by Sam Turner, Sarah Semple, and Alex Turner (2015) (1)
10. Cholesky Factorization (2002) (1)
Performance Evaluation of Mixed Precision Algorithms for Solving Sparse Linear Systems (2020) (1)
Anglo-Saxon Attitudes (2012) (1)
Stability of Block L U Factorization (2005) (1)
Review of ``Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators'', byLloyd N. Trefethen and Mark Embree.Princeton University Press, Princeton, NJ, USA, 2005. (2007) (1)
Rome, Britain and the Anglo-Saxons (Archaeology of Change) (1992) (1)
Algorithm 694 A Collection of Test (1991) (1)
Handbook of Writing for the Mathematical Sciences, Third Edition (2020) (1)
King Arthur: The Making of the Legend (2018) (1)
New Directions in Numerical Computation (2016) (1)
1. Theory of Matrix Functions (2008) (1)
The power of relationships in bringing hope to patients in difficult times. Part 1/2 (2016) (1)
25. Nonlinear Systems and Newton's Method (2002) (1)
9. Schur—Parlett Algorithm (2008) (1)
Advances in Mixed Precision Algorithms: 2021 Edition (2021) (1)
Programming Languages: An Applied Mathematics View (2015) (1)
Britons in Anglo-Saxon England: Historical Narrative as Cultural Politics: Rome, ‘British-ness’ and ‘English-ness’ (2007) (1)
Convergence and Stability of Iterations for Matrix Functions (2005) (1)
Iterative Refinement and LAPACK (1995) (1)
Computing the Square Root of a Low-Rank Perturbation of the Scaled Identity Matrix (2023) (1)
Etymo: A New Discovery Engine for AI Research (2018) (1)
7. Perturbation Theory for Linear Systems (2002) (1)
Computing the Polar Decomposition in Matrix Groups (2003) (1)
Britons in Anglo-Saxon England: Britons in Anglo-Saxon England: An Introduction (2007) (1)
An Interview with Gene Golub (2008) (0)
Part III. Equations, Laws, and Functions of Applied Mathematics (2015) (0)
An algorithm to compute the polar decomposition of a 3 × 3 matrix (2016) (0)
The Matrix Logarithm: from Theory to Computation (2014) (0)
Reviews (2001) (0)
How to Be Creative (2022) (0)
Lisi Oliver, The Beginnings of English Law . (Toronto Medieval Texts and Translations, 14.) Toronto; Buffalo, N.Y.; and London: University of Toronto Press, 2002. Pp. xiv, 297; tables and 1 map. $60. (2004) (0)
Mixed Precision xsdk Project Final Report (2021) (0)
Color Spaces and Digital Imaging (2015) (0)
Solving the Polynomial Eigenvalue Problem by Linearization (2006) (0)
Britons in Anglo-Saxon England: Contributors (2007) (0)
6. Writing a Paper (1998) (0)
A Companion to Bede – By George Hardin Brown; Bede's Historiae: Genre, Rhetoric and the Construction of Anglo-Saxon Church History – By Vicky Gunn (2012) (0)
7. M-Files (2005) (0)
MICHAEL J. ENRIGHT. The Sutton Hoo Sceptre and the Roots of Celtic Kingship Theory. Portland, Oreg.: Four Courts Press. 2006. Pp. 387. $60.00 (2007) (0)
Theoretical and Computational Aspects of Matrix Algorithms (Dagstuhl Seminar 03421) (2021) (0)
21. Underdetermined Systems (2002) (0)
Matrix Computations in Basic on a Microcomputer (2013) (0)
18. Matrix Powers (2002) (0)
The Origins of Cheshire: (Origins of the Shire) (1993) (0)
16. Further M-Files (2005) (0)
Numerical Linear Algebra and Matrix Analysis (2015) (0)
13. Block LU Factorization (2002) (0)
REVIEWS (2002) (0)
14. Matrix Inversion (2002) (0)
Applications/Algorithms Roadmapping Activity. First Stage Final Report (2009) (0)
27. Software Issues in Floating Point Arithmetic (2002) (0)
16.02.28, Grigg, The Philosopher King and the Pictish Nation (2016) (0)
10. Matrix Exponential (2008) (0)
Estimating the Largest Elements of a Matrix Higham, Nicholas J. and Relton, Samuel D. 2015 (2017) (0)
1. General Principles (1998) (0)
Wilfrid on the Continent (2013) (0)
Commentary (1992) (0)
Commentary on Selected Papers by Gene Golub on Matrix Factorizations and Applications (2007) (0)
'Teritorial organisation in pre-conquest Cheshire' (1997) (0)
13. Input and Output (2005) (0)
19. QR Factorization (2002) (0)
The Craft of Scientific Writing.@@@Handbook of Writing for the Mathematical Sciences. (1997) (0)
The Mathematics of Floating-Point Arithmetic (2021) (0)
Gaussian Elimination 1 (2011) (0)
Cayley , Sylvester , and Early Matrix Theory Higham (2017) (0)
The Influence and Contribution of Jack Dongarra to Numerical Linear Algebra (2022) (0)
T. M. Charles-Edwards. Wales and the Britons, 350–1064. (2014) (0)
Part I. Introduction to Applied Mathematics (2015) (0)
4. Techniques for General Functions (2008) (0)
Fundamentals of Algorithms (2007) (0)
15. Condition Number Estimation (2002) (0)
Britons in Anglo-Saxon England: Frontmatter (2007) (0)
Umist Qr Factorization with Complete Pivoting and Accurate Computation of the Svd Departments of Mathematics (1998) (0)
The power of relationships in bringing hope to patients in difficult times. Part 2/2 (2016) (0)
Umist Qr Factorization with Complete Pivoting and Accurate Computation of the Svd Departments of Mathematics (1998) (0)
Introduction to Early Medieval Western Europe, 300–900: The Sword, the Plough and the Book By Matthew Innes (2008) (0)
The Singular Value Decomposition (2015) (0)
9. Writing and Defending a Thesis (1998) (0)
Umist Iterative Reenement for Linear Systems and Lapack Departments of Mathematics Iterative Reenement for Linear Systems and Lapack (2007) (0)
The 'Siege of the Badonic Mountain' (2020) (0)
Umist Iterative Reenement for Linear Systems and Lapack Departments of Mathematics Iterative Reenement for Linear Systems and Lapack (2007) (0)
Improved Error Bounds forUnderdetermined System (1990) (0)
'The Cross in Cambro-Latin in the Ninth and Tenth Centuries' (2006) (0)
Edward the Confessor: The Man and the Legend – Edited by R. Mortimer (2010) (0)
Umist Iterative Reenement and Lapack Departments of Mathematics Iterative Reenement and Lapack (1995) (0)
Umist Iterative Reenement and Lapack Departments of Mathematics Iterative Reenement and Lapack (1995) (0)
10. Writing a Talk (1998) (0)
14. Aids and Resources for Writing and Research (1998) (0)
Functions of Matrices : From Cayley and Sylvester to MATLAB (2007) (0)
12. Iterative Refinement (2002) (0)
Umist Notes on Accuracy and Stability of Algorithms in Numerical Linear Algebra Departments of Mathematics Notes on Accuracy and Stability of Algorithms in Numerical Linear Algebra 1 (2007) (0)
Reviews (2002) (0)
6. Operators and Flow Control (2005) (0)
Britons in Anglo-Saxon England: List of Tables (2007) (0)
13. Function of Matrix Times Vector: f(A)b (2008) (0)
Helena Hamerow. Rural settlement and society in Anglo-Saxon England. xii+194 pages, 52 illustrations. 2012. Oxford: Oxford University Press; 978-0-19-920325-3 hardback £ 65. (2013) (0)
Chapter 1 A New Parallel Algorithm for Computing the Singular Value Decomposition ∗ (2012) (0)
7. Matrix pth Root (2008) (0)
8. The Polar Decomposition (2008) (0)
Ward stars help create star wards: HCAs and APs working in mental health (2015) (0)
The Late Anglo-Saxon Landscape of Western Cheshire:: Open Field, Ploughs and the Manor within the Dykes (2014) (0)
Early Numerical Linear Algebra in the UK (2005) (0)
Part V. Modeling (2015) (0)
12. Numerical Methods: Part II (2005) (0)
EC Telecommunications law (1993) (0)
5. When English Is a Foreign Language (1998) (0)
21. Tricks and Tips (2005) (0)
REVIEWS (2011) (0)
The Beginnings of English Law. Lisi Oliver (2004) (0)
Functions of Matrices Higham (2005) (0)
Ralph, the Matrix Sign Function, and the Polar Decomposition (2008) (0)
17. Stationary Iterative Methods (2002) (0)
2. Writer's Tools and Recommended Reading (1998) (0)
18. Other Data Types and Multidimensional Arrays (2005) (0)
Part VII. Application Areas (2015) (0)
LINEAR ALGEBRA (Pure and Applied Mathematics) By P ETER D. L AX : 250 pp., £55.00, ISBN 0 471 11111 2 (John Wiley & Sons, 1996). (1999) (0)
BOOK REVIEW FOR BULLETIN OF THE AMS (2006) (0)
Part VI. Example Problems (2015) (0)
Multiprecision scientific computin (2019) (0)
17. Handle Graphics (2005) (0)
Numerical Behavior of NVIDIA Tensor Cores Fasi, Massimiliano and Higham, Nicholas J. and Mikaitis, Mantas and Pranesh, Srikara (2020) (0)
12. Matrix Cosine and Sine (2008) (0)
10. More on Functions (2005) (0)
Advances in Mixed Precision Algorithms: 2021 Edition. (2021) (0)
Britons in Anglo-Saxon England: Contents (2007) (0)
An algorithm to compute the polar decomposition of a 3 x 3 matrix Higham , (2017) (0)
13. Tex and Latex (1998) (0)
9. LU Factorization and Linear Equations (2002) (0)
Part II. Concepts (2015) (0)
Privatization and telephone numbers (1992) (0)
Commentary on Matrix Factorizations and Applications (2007) (0)
Part IV. Areas of Applied Mathematics (2015) (0)
Making the Princeton Companion to Applied Mathematics (2015) (0)
11. Giving a Talk (1998) (0)
8. Publishing a Paper (1998) (0)
Cavalry in Early Bernicia (1991) (0)
King Arthur (2018) (0)
SIMULATING LOW PRECISION FLOATING-POINT ARITHMETIC Higham, Nicholas J. and Pranesh, Srikara 2019 (2019) (0)
9. Linear Algebra (2005) (0)
Anderson acceleration of the alternating projections method for computing the nearest correlation matrix (2015) (0)
Symmetric Linearizations for Matrix (2017) (0)
646 BOOK REVIEWS (0)
The Sensitivity of ComputationalProblems (2004) (0)
11. Numerical Methods: Part I (2005) (0)
David Henry Hill PhD FSA (2014) (0)
3. Distinctive Features of MATLAB (2005) (0)
12. Preparing a Poster (1998) (0)
1. Principles of Finite Precision Computation (2002) (0)
20. The Least Squares Problem (2002) (0)
REVIEWS (2010) (0)
19. The Symbolic Math Toolbox (2005) (0)
Matrix Functions: Computation (2015) (0)
'Domesday Book: its context and purpose' (1993) (0)
16. The Sylvester Equation (2002) (0)
Mixed Precision xsdk Project: Final Report for Year Ended March 31, 2022 (2022) (0)
Britons in Anglo-Saxon England: Index (2007) (0)
7. Revising a Draft (1998) (0)
8. Triangular Systems (2002) (0)
Book Review: The mathematical theory of finite element methods (1996) (0)
26. Automatic Error Analysis (2002) (0)
How to Read and Understand a Paper (2015) (0)
REVIEWS (2007) (0)
3. Mathematical Writing (1998) (0)
Bede and the future. Edited by Peter Darby and Faith Wallis. (Studies in Early Modern Britain and Ireland.) Pp. xv + 269. Farnham–Burlington,Vt: Ashgate, 2014. £70. 978 1 4094 5182 2 (2015) (0)
shrinking: First release. (2015) (0)
Star Wards awakens an engaging online force: How a charity that focuses on improving inpatient experiences by making small changes has inspired and motivated staff and service users alike (2016) (0)
Reviews (2013) (0)
The Tatton Park Project, Part 3 (2002) (0)
23. Fast Matrix Multiplication (2002) (0)
Recent Developments in Dense Numerical Linear Algebra Recent Developments in Dense Numerical Linear Algebra (2007) (0)
Part VIII. Final Perspectives (2015) (0)
11. Matrix Logarithm (2008) (0)
LAPACK Working Note 27: Stability of Methods for Matrix Inversion (1990) (0)
America keeps its blinkers on (2002) (0)
The archaeology of landscape: studies presented to Christopher Taylor, edited by Paul Everson and Tom Williamson (1999) (0)
King Edward's posthumous reputation: an introduction (2001) (0)
Sylvester's Inuence on Applied Mathematics (2014) (0)
11. Symmetric Indefinite and Skew-Symmetric Systems (2002) (0)
4. English Usage (1998) (0)

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