J. Alan George

Q: What Schools Are Affiliated With J. Alan George

J. Alan George is affiliated with the following schools: University of Waterloo, University of Alberta, Stanford University, Duke University

J. Alan George's AcademicInfluence.com Rankings

J. Alan George

Computer Science

#2481

World Rank

#2591

Historical Rank

Database

#2757

World Rank

#2881

Historical Rank

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Computer Science

Why Is J. Alan George Influential?

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According to Wikipedia, J. Alan George, is a computer scientist and university administrator. In the academic world, George is best known for his intensive research and wide-ranging contributions to the field of numerical linear algebra, specifically computation with sparse matrices. He is the author or coauthor of more than 100 research articles and two books, and co-editor of two other books. With his students, he has developed a widely used mathematical software package for solving sparse systems of equations and sparse least squares problems.

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J. Alan George'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

Computer solution of large sparse positive definite systems (1982) (2017)
Nested Dissection of a Regular Finite Element Mesh (1973) (1101)
The Evolution of the Minimum Degree Ordering Algorithm (1989) (440)
Computer Solution of Large Sparse Positive Definite (1981) (411)
Solution of sparse linear least squares problems using givens rotations (1980) (197)
Graph theory and sparse matrix computation (1993) (163)
Sparse Cholesky factorization on a local-memory multiprocessor (1988) (137)
An automatic one-way dissection algorithm for irregular finite element problems (1978) (134)
Communication results for parallel sparse Cholesky factorization on a hypercube (1989) (119)
Parallel Cholesky factorization on a shared-memory multiprocessor. Final report, 1 October 1986-30 September 1987 (1986) (98)
An Implementation of a Pseudoperipheral Node Finder (1979) (88)
A linear time implementation of the reverse Cuthill-McKee algorithm (1980) (80)
On Block Elimination for Sparse Linear Systems (1974) (80)
Symbolic factorization for sparse Gaussian elimination with partial pivoting (1987) (80)
Inside the FFT Black Box: Serial and Parallel Fast Fourier Transform Algorithms (2019) (64)
A Fast Implementation of the Minimum Degree Algorithm Using Quotient Graphs (1980) (61)
Solution of sparse positive definite systems on a hypercube (1989) (61)
The Design of a User Interface for a Sparse Matrix Package (1979) (56)
On the Complexity of Sparse $QR$ and $LU$ Factorization of Finite-Element Matrices (1988) (56)
AN ANALYSIS OF SPECTRAL ENVELOPE-REDUCTION VIA QUADRATIC ASSIGNMENT PROBLEMS (1997) (55)
Gaussian elimination with partial pivoting and load balancing on a multiprocessor (1987) (55)
Numerical Experiments Using Dissection Methods to Solve n by n Grid Problems (1977) (54)
An Implementation of Gaussian Elimination with Partial Pivoting for Sparse Systems (1985) (51)
On the application of the minimum degree algorithm to finite element systems (1978) (47)
QR Factorization of a Dense Matrix on a Hypercube Multiprocessor (1990) (43)
Algorithms for Matrix Partitioning and the Numerical Solution of Finite Element Systems (1978) (40)
Householder reflections versus givens rotations in sparse orthogonal decomposition (1987) (38)
A Comparison of Some Methods for Solving Sparse Linear Least-Squares Problems (1983) (37)
A data structure for sparse QR and LU factorizations (1988) (36)
On Row and Column Orderings for Sparse Least Squares Problems (1983) (35)
A Minimal Storage Implementation of the Minimum Degree Algorithm (1980) (33)
Incomplete Nested Dissection for Solving n by n Grid Problems (1978) (33)
On the growth factor in Gaussian elimination for generalized Higham matrices (2002) (33)
An Optimal Algorithm for Symbolic Factorization of Symmetric Matrices (1980) (28)
Common invariant subspaces of two matrices (1999) (27)
Symbolic Cholesky factorization on a local-memory multiprocessor (1987) (26)
A Comparison of Algorithms for Solving Symmetric Indefinite Systems of Linear Equations (1976) (24)
Parallel sparse Gaussian elimination with partial pivoting (1990) (24)
A new release of SPARSPAK: the Waterloo sparse matrix package (1984) (22)
Solution of sparse positive definite systems on a shared-memory multiprocessor (1986) (21)
Dynamic Programming on a Shared-Memory Multiprocessor (1993) (19)
Some Properties of Symmetric Quasi-Definite Matrices (2000) (19)
QR factorization of a dense matrix on a shared-memory multiprocessor (1989) (18)
Auxiliary Storage Methods for Solving Finite Element Systems (1985) (18)
On a QR-Like Algorithm for Some Structured Eigenvalue Problems (1995) (17)
Row-ordering schemes for sparse givens transformations. II. implicit graph model (1984) (17)
Orthogonal Reduction of Sparse Matrices to Upper Triangular Form Using Householder Transformations (1986) (15)
Unitary similarity of matrices with quadratic minimal polynomials (2002) (15)
Solution of Sparse Underdetermined Systems of Linear Equations (1984) (13)
SPARSE MATRIX SOFTWARE (1976) (13)
Performance-Based Outcomes Following Lisfranc Injury Among Professional American Football and Rugby Athletes. (2018) (12)
FFT algorithms and their adaptation to parallel processing (1998) (12)
Gaussian elimination is stable for the inverse of a diagonally dominant matrix (2003) (12)
Numerical Simulation of Unsteady Incompressible Flow (\em Re \protect\boldmath $\leq$ 9500) on the Curvilinear Half-Staggered Mesh (1999) (11)
A Note on Fill for Sparse Matrices (1975) (11)
An Object-Oriented Approach to the Design of a User Interface for a Sparse Matrix Package (1999) (11)
Analysis of Dissection Algorithms for Vector Computers. (1978) (10)
Solving the two-dimensional CIS problem by a rational algorithm (2000) (10)
Immediate Physical Therapy following Total Joint Arthroplasty: Barriers and Impact on Short-Term Outcomes (2019) (9)
Parallel Cholesky factorization on a multiprocessor (1985) (8)
Is the Polar Decomposition Finitely Computable? (1996) (8)
Parallel Matrix Inversion on a Subcube-Grid (1993) (7)
On Doubly Symmetric Tridiagonal Forms for Complex Matrices and Tridiagonal Inverse Eigenvalue Problems (1996) (7)
Addendum: Is The Polar Decomposition Finitely Computable? (1997) (7)
A note on estimating the error in Gaussian elimination without pivoting (1985) (6)
On the growth factor in Gaussian elimination for matrices with sharp angular field of values (2004) (6)
Sparse Matrix Aspects of the Finite Element Method (1976) (6)
Sparse orthogonal decomposition on a hypercube multiprocessor (1990) (6)
On the Condition of Symmetric Quasi-Definite Matrices (2000) (5)
Some shared memory is desirable in parallel sparse matrix computation (1988) (5)
A brief description of SPARSPAK Waterloo sparse linear equations package (1981) (5)
COMPARISON BETWEEN CYLINDER AND TAPERED IMPLANTS IN DELAYED IMMEDIATE PLACEMENT (2015) (5)
A Finite Procedure for the Tridiagonalization of a General Matrix (1995) (5)
Row-ordering schemes for sparse givens transformation. III. analyses for a model problem☆ (1986) (4)
An efficient band-oriented scheme for solving n by n grid problems (1972) (4)
On symbolic factorization of partitioned sparse symmetric matrices (1980) (4)
SOLUTION OF SPARSE LINEAR EQUATIONS USING CHOLESKY FACTORS OF AUGMENTED SYSTEMS (2000) (4)
Influence of second-order bracket-archwire misalignments on loads generated during third-order archwire rotation in orthodontic treatment. (2016) (4)
Comparison of third-order torque simulation with and without a periodontal ligament simulant. (2015) (4)
A variant of nested dissection for solving n by n grid problems (1976) (3)
Multilevel One-Way Dissection Factorization (2000) (3)
The conditionality and expected error of two methods of computing the pseudo-eigenvalues of a complex matrix (1995) (3)
A balanced submatrix merging algorithm for multiprocessor architectures (1992) (2)
The Effect of an Arthroscopic Orthopaedic Procedure on a Professional Tennis Player’s Career (2019) (2)
The closedness of certain classes of matrices with respect to pseudoinversion (2002) (2)
Parallel Algorithms and Subcube Embedding on a Hypercube (1993) (2)
Solution of Sparse Systems of Equations on Multiprocessor Architectures (1989) (2)
A Negative Result on Sparse Matrix Splitting and Gaussian Elimination (1976) (2)
The Divide-and-Conquer Paradigm and Two Basic FFT Algorithms (1999) (1)
The Mixed-Radix and Split-Radix FFTs (1999) (1)
Further Improvement and a Generalization of Parallel FFTs (1999) (0)
Algorithms and software for solving finite element equations on serial and parallel architectures. Final report (1988) (0)
Performing Bit-Reversal by Repeated Permutation of Intermediate Results (1999) (0)
An Elementary Introduction to the Discrete Fourier Transform (1999) (0)
Deciphering the Scrambled Output from In-Place FFT Computation (1999) (0)
O3063 DRAIN EVACUATION PRESSURE AND BLOOD LOSS IN CEMENTED TOTAL KNEE REPLACEMENTS: AN ANALYSIS OF OBSERVED & TRUE BLOOD LOSS (2004) (0)
Computing and Distributing Twiddle Factors in the Parallel FFTs (1999) (0)
FFTs for Composite N (1999) (0)
Ordering Algorithms and Computer Implementation of Radix-2 FFTs (1999) (0)
An Ordered Radix-2 DIT FFT (1999) (0)
Parallelizing the FFTs: Preliminaries on Data Mapping (1999) (0)
Computing and Communications on Distributed-Memory Multiprocessors (1999) (0)
FFTs for Arbitrary N (1999) (0)
Block LU factorization is stable for block matrices whose inverses are block diagonally dominant (2005) (0)
Selected FFT Applications (1999) (0)
Parallel QR Factorization on a Hypercube Multiprocessor-Abstract (1987) (0)
Loss of Reduction and Malunion After Cortical Perforation During Flexible Nailing of an Open Tibia Fracture (2022) (0)
Socket Preservation Using the Ice Cream Cone Technique Versus Spontaneous Healing in Fresh Extraction Sockets. (2019) (0)
Parallelization of a Electromagnetic Analysis Tool (2004) (0)
Low dose spinal anaesthesia reduces peri-operative opioid consumption in posterior cervical neck surgery (2021) (0)
Fundamental Concepts of Efficient Scientific Computation (1999) (0)
1 MICRO COMPUTED TOMOGRAPHY ANALYSIS OF MAGNESIUM SCREW DEGRADATION & BONE REGENERATION (2014) (0)
FFTs for Real Input (1999) (0)
The Radix-4 and the Class of Radix-2 s FFTs (1999) (0)
On the quasidiagonalizability of 3-self-adjoint matrices (2000) (0)
A Potpourri of Variations on Parallel FFTs (1999) (0)
An In-Place Radix-2 DIT FFT for Input in Natural Order (1999) (0)
Bit-Reversed Input to the Radix-2 DIF FFT (1999) (0)
Some Mathematical and Computational Preliminaries (1999) (0)
An In-Place Radix-2 DIT FFT for Input in Bit-Reversed Order (1999) (0)
Erratum: On Row and Column Orderings for Sparse Least Squares Problems (1983) (0)
On quasidefinite matrices with a parameter in the off-diagonal block (1999) (0)
Practical aspects and experiences Parallel matrix inversion on a subcube-gr id * (2002) (0)
The Relationship Between Patient Expectations And Outcomes Of Injections For Knee Osteoarthritis (2020) (0)
Parallel FFTs without Inter-Processor Permutations (1999) (0)
Hankel matrices commuting with tridiagonal matrices (1996) (0)
Parallelizing Two-dimensional FFTs (1999) (0)

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Other Resources About J. Alan George

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What Schools Are Affiliated With J. Alan George?

J. Alan George is affiliated with the following schools: