Åke Björck

Åke Björck's AcademicInfluence.com Rankings

Åke Björck

Mathematics

#7271

World Rank

#9913

Historical Rank

Applied Mathematics

#317

World Rank

#342

Historical Rank

Measure Theory

#2005

World Rank

#2435

Historical Rank

mathematics Degrees

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Mathematics

Åke Björck's Degrees

PhD Mathematics Lund University

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Åke Björck'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

Numerical methods (1974) (3887)
Numerical methods for least square problems (1996) (1906)
Solving linear least squares problems by Gram-Schmidt orthogonalization (1967) (456)
Solution of Vandermonde Systems of Equations (1970) (399)
Numerical Methods for Engineers and Scientists. (1978) (328)
Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations (1979) (242)
Numerical Methods in Matrix Computations (2014) (239)
Numerical methods in scientific computing (2008) (194)
A Schur method for the square root of a matrix (1983) (176)
Least squares methods (1990) (167)
Numerics of Gram-Schmidt orthogonalization (1994) (162)
A bidiagonalization algorithm for solving large and sparse ill-posed systems of linear equations (1988) (145)
Loss and Recapture of Orthogonality in the Modified Gram-Schmidt Algorithm (1992) (142)
Gram‐Schmidt orthogonalization: 100 years and more (2013) (102)
Iterative refinement of linear least squares solutions II (1967) (88)
An Iterative Algorithm for Computing the Best Estimate of an Orthogonal Matrix (1971) (87)
An implicit shift bidiagonalization algorithm for ill-posed systems (1994) (81)
Stability of Conjugate Gradient and Lanczos Methods for Linear Least Squares Problems (1998) (79)
Iterative refinement of linear least squares solutions I (1967) (74)
A new high order method of regula falsi type for computing a root of an equation (1973) (70)
The calculation of linear least squares problems (2004) (67)
A direct method for the solution of sparse linear least squares problems (1980) (59)
Algorithms for confluent Vandermonde systems (1973) (54)
A direct method for sparse least squares problems with lower and upper bounds (1988) (52)
Stability analysis of the method of seminormal equations for linear least squares problems (1987) (52)
Solution of augmented linear systems using orthogonal factorizations (1994) (45)
Methods for Large Scale Total Least Squares Problems (2000) (43)
A General Updating Algorithm for Constrained Linear Least Squares Problems (1984) (39)
Component-wise perturbation analysis and error bounds for linear least squares solutions (1991) (37)
Large scale matrix problems (1983) (30)
Comment on the Iterative Refinement of Least-Squares Solutions (1978) (30)
Least Squares Problems (2009) (29)
Preconditioners for least squares problems by LU factorization. (1999) (27)
Error Analysis of Least Squares Algorithms (1991) (23)
Decomposition methods for solving least-squares parameter estimation (1996) (17)
Newton and Rayleigh quotient methods for total least squares problems (1997) (16)
A blockQR algorithm for partitioning stiff differential systems (1983) (15)
Fast and stable partial least squares modelling: A benchmark study with theoretical comments (2017) (15)
Algorithms for Linear Least Squares Problems (1991) (13)
Matrix stretching for sparse least squares problems (2000) (11)
Some methods for separating stiff components in initial value problems (1984) (9)
Stability of Two Direct Methods for Bidiagonalization and Partial Least Squares (2014) (6)
Linear Least Squares Problems (2015) (6)
5. Constrained Least Squares Problems (1996) (6)
Acta Numerica 2004: The calculation of linear least squares problems (2004) (5)
9. Nonlinear Least Squares Problems (1996) (5)
5. Numerical Integration (2008) (3)
QR Factorization of the Jacobian in Some Structured Nonlinear Least Squares Problems (2002) (3)
7. Iterative Methods for Least Squares Problems (1996) (3)
Generalized and Sparse Least Squares Problems (1994) (3)
Exploiting the separability in the solution of systems of linear ordinary differential equations (1989) (3)
Direct Methods for Linear Systems (2018) (2)
4. Generalized Least Squares Problems (1996) (1)
2. Basic Numerical Methods (1996) (1)
4. Interpolation and Approximation (2008) (1)
Matrix Eigenvalue Problems (2015) (0)
8. Least Squares Problems with Special Bases (1996) (0)
6. Direct Methods for Sparse Problems (1996) (0)
An impliciltly restarted bidiagonalization algorithm for ill-posed systems (1994) (0)
3. Modified Least Squares Problems (1996) (0)
1. Mathematical and Statistical Properties of Least Squares Solutions (1996) (0)
1. Principles of Numerical Calculations (2008) (0)
3. Series, Operators, and Continued Fractions (2008) (0)
2. How to Obtain and Estimate Accuracy (2008) (0)
6. Solving Scalar Nonlinear Equations (2008) (0)

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What Schools Are Affiliated With Åke Björck?

Åke Björck is affiliated with the following schools:

Linköping University

Åke Björck's Academic­Influence.com Rankings

Åke Björck's Degrees

Why Is Åke Björck Influential?

Åke Björck's Published Works

Published Works

What Schools Are Affiliated With Åke Björck?

Åke Björck's AcademicInfluence.com Rankings