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Author ID: bjorck.ake Recent zbMATH articles by "Björck, Åke"
Published as: Björck, Åke; Björck, Å.; Björck, A.; Björck, Å
External Links: MGP · dblp · GND

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 1,501 times in 1,258 Documents Cited by Year
Numerical methods for least squares problems. Zbl 0847.65023
Björck, Åke
428
1996
Algorithms for linear least squares problems. Zbl 0734.65031
Björck, Å.
105
1991
Solution of Vandermonde systems of equations. Zbl 0221.65054
Björck, Åke; Pereyra, Victor
100
1971
Numerical methods for computing angles between linear subspaces. Zbl 0282.65031
Björck, Åke; Golub, Gene H.
100
1973
Solving linear least squares problems by Gram-Schmidt orthogonalization. Zbl 0183.17802
Björck, Åke
94
1967
Numerical methods in scientific computing. Vol. 1. Zbl 1153.65001
Dahlquist, Germund; Björck, Åke
88
2008
Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations. Zbl 0409.65022
Björck, Åke; Elfving, Tommy
63
1979
Numerics of Gram-Schmidt orthogonalization. Zbl 0801.65039
Björck, Å.
44
1994
A bidiagonalization algorithm for solving large and sparse ill-posed systems of linear equations. Zbl 0658.65041
Björck, Åke
44
1988
Numerical methods in matrix computations. Zbl 1322.65047
Björck, Åke
40
2015
Loss and recapture of orthogonality in the modified Gram-Schmidt algorithm. Zbl 0747.65026
Björck, Å.; Paige, C. C.
37
1992
Iterative refinement of linear least squares solutions. I. Zbl 0159.20404
Björck, Åke
33
1967
An implicit shift bidiagonalization algorithm for ill-posed systems. Zbl 0821.65023
Björck, Åke; Grimme, Eric; van Dooren, Paul
25
1994
A new high order method of regula falsi type for computing a root of an equation. Zbl 0263.65054
Anderson, Ned; Björck, Åke
21
1973
Algorithms for confluent Vandermonde systems. Zbl 0255.65018
Björck, Åke; Elfving, Tommy
18
1973
Solution of augmented linear systems using orthogonal factorizations. Zbl 0822.65021
Björck, Å.; Paige, C. C.
18
1994
Iterative refinement of linear least squares solutions. II. Zbl 0177.43204
Björck, Åke
18
1968
Stability analysis of the method of seminormal equations for linear least squares problems. Zbl 0616.65043
Björck, Å
18
1987
A direct method for the solution of sparse linear least squares problems. Zbl 0471.65021
Björck, Å.; Duff, I. S.
17
1980
Methods for large scale total least squares problems. Zbl 0974.65037
Björck, Åke; Heggernes, P.; Matstoms, P.
16
2000
Gram-Schmidt orthogonalization: 100 years and more. Zbl 1313.65086
Leon, Steven J.; Björck, Åke; Gander, Walter
16
2013
Least squares methods. Zbl 0875.65055
Björck, Åke
15
1990
Stability of conjugate gradient and Lanczos methods for linear least squares problems. Zbl 0924.65035
Björck, Åke; Elfving, Tommy; Strakous, Zdenuek
15
1998
Numerical methods. Translated from the Swedish by Ned Anderson. Reprint of the 1974 English translation. Zbl 1029.65002
Dahlquist, Germund; Björck, Åke
14
2003
Eigenproblems for matrices associated with periodic boundary conditions. Zbl 0356.65029
Björck, Åke; Golub, Gene H.
13
1977
A direct method for sparse least squares problems with lower and upper bounds. Zbl 0659.65039
Björck, Åke
12
1988
Component-wise perturbation analysis and error bounds for linear least squares solutions. Zbl 0732.65043
Björck, Å.
12
1991
An iterative algorithm for computing the best estimate of an orthogonal matrix. Zbl 0221.65075
Björck, Åke; Bowie, C.
11
1971
Accurate downdating of least squares solutions. Zbl 0811.65034
Björck, Å.; Park, H.; Eldén, L.
11
1994
Preconditioners for least squares problems by LU factorization. Zbl 0924.65034
Björck, Åke; Yuan, J. Y.
10
1999
Methods for sparse linear least squares problems. Zbl 0351.65004
Björck, Åke
6
1976
Newton and Rayleigh quotient methods for total least squares problems. Zbl 0879.65105
Björck, Åke
6
1997
A general updating algorithm for constrained linear least square problems. Zbl 0562.65018
Björck, Åke
6
1984
Error analysis of least squares algorithms. Zbl 0757.65047
Björck, Åke
5
1991
Matrix stretching for sparse least squares problems. Zbl 0982.65046
Adlers, Mikael; Björck, Åke
4
2000
Numerical stability of methods for solving augmented systems. Zbl 0868.65025
Björck, Åke
4
1997
The calculation of linear least squares problems. Zbl 1118.65326
Björck, Åke
3
2004
Iterative refinement and reliable computing. Zbl 0718.65012
Björck, Åke
3
1990
Pivoting and stability in the augmented system method. Zbl 0796.65056
Björck, Å.
3
1992
Some methods for separating stiff components in initial value problems. Zbl 0542.65037
Björck, Å.
3
1984
Large scale matrix problems. Zbl 0443.65010
1
1981
QR factorization of the Jacobian in some structured nonlinear least squares problems. Zbl 0995.65019
Björck, Åke
1
2002
Numerical methods in matrix computations. Zbl 1322.65047
Björck, Åke
40
2015
Gram-Schmidt orthogonalization: 100 years and more. Zbl 1313.65086
Leon, Steven J.; Björck, Åke; Gander, Walter
16
2013
Numerical methods in scientific computing. Vol. 1. Zbl 1153.65001
Dahlquist, Germund; Björck, Åke
88
2008
The calculation of linear least squares problems. Zbl 1118.65326
Björck, Åke
3
2004
Numerical methods. Translated from the Swedish by Ned Anderson. Reprint of the 1974 English translation. Zbl 1029.65002
Dahlquist, Germund; Björck, Åke
14
2003
QR factorization of the Jacobian in some structured nonlinear least squares problems. Zbl 0995.65019
Björck, Åke
1
2002
Methods for large scale total least squares problems. Zbl 0974.65037
Björck, Åke; Heggernes, P.; Matstoms, P.
16
2000
Matrix stretching for sparse least squares problems. Zbl 0982.65046
Adlers, Mikael; Björck, Åke
4
2000
Preconditioners for least squares problems by LU factorization. Zbl 0924.65034
Björck, Åke; Yuan, J. Y.
10
1999
Stability of conjugate gradient and Lanczos methods for linear least squares problems. Zbl 0924.65035
Björck, Åke; Elfving, Tommy; Strakous, Zdenuek
15
1998
Newton and Rayleigh quotient methods for total least squares problems. Zbl 0879.65105
Björck, Åke
6
1997
Numerical stability of methods for solving augmented systems. Zbl 0868.65025
Björck, Åke
4
1997
Numerical methods for least squares problems. Zbl 0847.65023
Björck, Åke
428
1996
Numerics of Gram-Schmidt orthogonalization. Zbl 0801.65039
Björck, Å.
44
1994
An implicit shift bidiagonalization algorithm for ill-posed systems. Zbl 0821.65023
Björck, Åke; Grimme, Eric; van Dooren, Paul
25
1994
Solution of augmented linear systems using orthogonal factorizations. Zbl 0822.65021
Björck, Å.; Paige, C. C.
18
1994
Accurate downdating of least squares solutions. Zbl 0811.65034
Björck, Å.; Park, H.; Eldén, L.
11
1994
Loss and recapture of orthogonality in the modified Gram-Schmidt algorithm. Zbl 0747.65026
Björck, Å.; Paige, C. C.
37
1992
Pivoting and stability in the augmented system method. Zbl 0796.65056
Björck, Å.
3
1992
Algorithms for linear least squares problems. Zbl 0734.65031
Björck, Å.
105
1991
Component-wise perturbation analysis and error bounds for linear least squares solutions. Zbl 0732.65043
Björck, Å.
12
1991
Error analysis of least squares algorithms. Zbl 0757.65047
Björck, Åke
5
1991
Least squares methods. Zbl 0875.65055
Björck, Åke
15
1990
Iterative refinement and reliable computing. Zbl 0718.65012
Björck, Åke
3
1990
A bidiagonalization algorithm for solving large and sparse ill-posed systems of linear equations. Zbl 0658.65041
Björck, Åke
44
1988
A direct method for sparse least squares problems with lower and upper bounds. Zbl 0659.65039
Björck, Åke
12
1988
Stability analysis of the method of seminormal equations for linear least squares problems. Zbl 0616.65043
Björck, Å
18
1987
A general updating algorithm for constrained linear least square problems. Zbl 0562.65018
Björck, Åke
6
1984
Some methods for separating stiff components in initial value problems. Zbl 0542.65037
Björck, Å.
3
1984
Large scale matrix problems. Zbl 0443.65010
1
1981
A direct method for the solution of sparse linear least squares problems. Zbl 0471.65021
Björck, Å.; Duff, I. S.
17
1980
Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations. Zbl 0409.65022
Björck, Åke; Elfving, Tommy
63
1979
Eigenproblems for matrices associated with periodic boundary conditions. Zbl 0356.65029
Björck, Åke; Golub, Gene H.
13
1977
Methods for sparse linear least squares problems. Zbl 0351.65004
Björck, Åke
6
1976
Numerical methods for computing angles between linear subspaces. Zbl 0282.65031
Björck, Åke; Golub, Gene H.
100
1973
A new high order method of regula falsi type for computing a root of an equation. Zbl 0263.65054
Anderson, Ned; Björck, Åke
21
1973
Algorithms for confluent Vandermonde systems. Zbl 0255.65018
Björck, Åke; Elfving, Tommy
18
1973
Solution of Vandermonde systems of equations. Zbl 0221.65054
Björck, Åke; Pereyra, Victor
100
1971
An iterative algorithm for computing the best estimate of an orthogonal matrix. Zbl 0221.65075
Björck, Åke; Bowie, C.
11
1971
Iterative refinement of linear least squares solutions. II. Zbl 0177.43204
Björck, Åke
18
1968
Solving linear least squares problems by Gram-Schmidt orthogonalization. Zbl 0183.17802
Björck, Åke
94
1967
Iterative refinement of linear least squares solutions. I. Zbl 0159.20404
Björck, Åke
33
1967
all top 5

Cited by 1,844 Authors

43 Reichel, Lothar
18 Wei, Yimin
16 Jukić, Dragan
14 Jia, Zhongxiao
13 Dax, Achiya
13 Hayami, Ken
13 Martínez, José-Javier
12 Björck, Åke
12 Elfving, Tommy
12 Rodriguez, Giuseppe
11 Ma, Changfeng
11 Marco García, Ana
11 Scitovski, Rudolf
10 Hansen, Per Christian
10 Sgallari, Fiorella
10 Smoktunowicz, Alicja
9 Gratton, Serge
9 Morigi, Serena
9 Nagy, James Gerard
9 Rozložník, Miroslav
8 Barlow, Jesse L.
8 Calvetti, Daniela
8 Diao, Huaian
8 Liu, Qiaohua
8 Pan, Victor Yakovlevich
8 Rokhlin, Vladimir
7 Baglama, James
7 Chung, Julianne M.
7 Duff, Iain S.
7 Eisinberg, Alfredo
7 Gordon, Dan
7 Paige, Christopher C.
7 Viloche Bazán, Fermín S.
7 Wei, Musheng
7 Yin, Junfeng
6 Bai, Zhongzhi
6 Buccini, Alessandro
6 Donatelli, Marco
6 Fedele, Giuseppe
6 Golub, Gene Howard
6 Higham, Nicholas J.
6 Hochstenbach, Michiel E.
6 Li, Hanyu
6 Lin, Yiqin
6 Olshevsky, Vadim
6 Plemmons, Robert James
6 Popa, Constantin Gh.
6 Scott, Jennifer A.
6 Yuan, Jinyun
6 Zhang, Guofeng
5 Arioli, Mario
5 Billings, Stephen A.
5 Chang, Xiaowen
5 Chen, Sheng
5 De Moor, Bart L. R.
5 Gohberg, Israel
5 Gordon, Rachel
5 Gulliksson, Mårten E.
5 Hajarian, Masoud
5 Hanke-Bourgeois, Martin
5 Huang, Na
5 Kulikov, Gennady Yur’evich
5 O’Leary, Dianne P.
5 Potts, Daniel
5 Saad, Yousef
5 Sadok, Hassane
5 Samar, Mahvish
5 Saunders, Michael A.
5 Strakoš, Zdeněk
5 Tůma, Miroslav
5 Zlatev, Zahari
4 Borges, Leonardo Silveira
4 Bremer, James C.
4 Brezinski, Claude
4 Carson, Erin Claire
4 Chao, Zhen
4 Díaz de Alba, Patricia
4 Dong, Yiqiu
4 Fenu, Caterina
4 Freed, Alan David
4 Huang, Ting-Zhu
4 Jia, Zhigang
4 Kailath, Thomas
4 Koltracht, Israel
4 Kontoghiorghes, Erricos John
4 Langou, Julien
4 Liang, Zhaozheng
4 Marković, Darija
4 Morikuni, Keiichi
4 Ng, Michael Kwok-Po
4 Nikazad, Touraj
4 Park, Haesun
4 Redivo-Zaglia, Michela
4 Sabo, Kristian
4 Tewarson, Reginald P.
4 Titley-Péloquin, David
4 Toint, Philippe L.
4 Tsyganova, Yuliya Vladimirovna
4 Vasseur, Xavier
4 Woźny, Paweł
...and 1,744 more Authors
all top 5

Cited in 226 Serials

142 Linear Algebra and its Applications
97 Journal of Computational and Applied Mathematics
67 Applied Mathematics and Computation
66 BIT
59 Numerical Algorithms
36 Applied Numerical Mathematics
33 Mathematics of Computation
33 Numerische Mathematik
32 SIAM Journal on Scientific Computing
29 Computers & Mathematics with Applications
28 International Journal of Computer Mathematics
26 Journal of Computational Physics
19 Computer Methods in Applied Mechanics and Engineering
19 Computational Statistics and Data Analysis
15 Automatica
13 SIAM Journal on Matrix Analysis and Applications
13 Journal of Scientific Computing
13 BIT. Nordisk Tidskrift for Informationsbehandling
12 Calcolo
12 Computing
12 Numerical Linear Algebra with Applications
11 Applied and Computational Harmonic Analysis
11 Computational and Applied Mathematics
10 Inverse Problems
9 Linear and Multilinear Algebra
8 International Journal of Control
8 Journal of Mathematical Imaging and Vision
8 Computational Optimization and Applications
8 Mathematical Problems in Engineering
7 Journal of Optimization Theory and Applications
7 Applied Mathematics Letters
6 Mathematical Programming. Series A. Series B
6 Foundations of Computational Mathematics
5 Computers and Fluids
5 Computer Physics Communications
5 Journal of Engineering Mathematics
5 Systems & Control Letters
5 Japan Journal of Industrial and Applied Mathematics
5 Applied Mathematical Modelling
5 Advances in Computational Mathematics
5 Engineering Analysis with Boundary Elements
5 Optimization Methods & Software
5 Optimization and Engineering
5 Inverse Problems in Science and Engineering
4 Journal of the Franklin Institute
4 Journal of Mathematical Analysis and Applications
4 Mathematics and Computers in Simulation
4 Theoretical Computer Science
4 Computer Aided Geometric Design
4 Journal of Complexity
4 Annals of Operations Research
4 Machine Learning
4 Computational Statistics
4 Pattern Recognition
4 ETNA. Electronic Transactions on Numerical Analysis
4 European Journal of Control
4 Mathematical Geosciences
4 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
4 Statistics and Computing
3 Acta Mechanica
3 Journal of Mathematical Physics
3 Journal of Multivariate Analysis
3 Meccanica
3 Numerical Functional Analysis and Optimization
3 SIAM Journal on Numerical Analysis
3 Computational Mechanics
3 Mathematical and Computer Modelling
3 Neural Computation
3 Journal of Global Optimization
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of Applied Mathematics and Computing
3 International Journal of Computational Methods
3 Electronic Journal of Statistics
3 Journal of Applied Mathematics & Informatics
3 East Asian Journal on Applied Mathematics
2 Discrete Applied Mathematics
2 Mathematical Biosciences
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Chaos, Solitons and Fractals
2 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
2 Czechoslovak Mathematical Journal
2 Fuzzy Sets and Systems
2 Information Sciences
2 Journal of Approximation Theory
2 Journal of Econometrics
2 Journal of Soviet Mathematics
2 SIAM Journal on Algebraic and Discrete Methods
2 Operations Research Letters
2 Acta Applicandae Mathematicae
2 Physica D
2 Parallel Computing
2 Acta Mathematicae Applicatae Sinica. English Series
2 Statistics
2 Journal of Symbolic Computation
2 Computers & Operations Research
2 Signal Processing
2 Computational Mathematics and Mathematical Physics
2 Aequationes Mathematicae
2 Communications in Statistics. Simulation and Computation
2 Communications in Statistics. Theory and Methods
...and 126 more Serials
all top 5

Cited in 56 Fields

942 Numerical analysis (65-XX)
189 Linear and multilinear algebra; matrix theory (15-XX)
124 Operations research, mathematical programming (90-XX)
112 Statistics (62-XX)
88 Computer science (68-XX)
73 Systems theory; control (93-XX)
68 Partial differential equations (35-XX)
64 Information and communication theory, circuits (94-XX)
40 Mechanics of deformable solids (74-XX)
33 Approximations and expansions (41-XX)
31 Fluid mechanics (76-XX)
28 Biology and other natural sciences (92-XX)
25 Ordinary differential equations (34-XX)
25 Integral equations (45-XX)
24 Operator theory (47-XX)
24 Calculus of variations and optimal control; optimization (49-XX)
18 Probability theory and stochastic processes (60-XX)
16 Dynamical systems and ergodic theory (37-XX)
16 Geophysics (86-XX)
15 Mechanics of particles and systems (70-XX)
15 Quantum theory (81-XX)
14 Integral transforms, operational calculus (44-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
12 Combinatorics (05-XX)
12 Special functions (33-XX)
11 Statistical mechanics, structure of matter (82-XX)
9 Algebraic geometry (14-XX)
9 Optics, electromagnetic theory (78-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Real functions (26-XX)
8 Differential geometry (53-XX)
6 Functions of a complex variable (30-XX)
5 History and biography (01-XX)
5 Difference and functional equations (39-XX)
5 Functional analysis (46-XX)
4 General and overarching topics; collections (00-XX)
4 Number theory (11-XX)
3 Associative rings and algebras (16-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Commutative algebra (13-XX)
2 Topological groups, Lie groups (22-XX)
2 Sequences, series, summability (40-XX)
2 Geometry (51-XX)
2 Convex and discrete geometry (52-XX)
2 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 General topology (54-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Citations by Year