Åke Björck

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All published works

Action	Title	Year	Authors
+	Numerical Methods for Least Squares Problems: Second Edition	2024	Åke Björck
+	Review for "On partial least squares estimation in scalar‐on‐function regression models"	2022	Åke Björck
+ PDF Chat	Fast and stable partial least squares modelling: A benchmark study with theoretical comments	2017	Åke Björck Ulf Geir Indahl
+	Least Squares Calculations	2015	Åke Björck
+	Matrix Eigenvalue Problems	2014	Åke Björck
+	Iterative Methods	2014	Åke Björck
+ PDF Chat	Linear Least Squares Problems	2014	Åke Björck
+	Least Squares Problems.	2009	Åke Björck
+	Numerical methods in scientific computing	2008	Germund Dahlquist Åke Björck
+	Least Squares Problems	2008	Åke Björck
+	The calculation of linear least squares problems	2004	Åke Björck
+	The calculation of linear least squares problems	2004	Åke Björck
+	QR Factorization of the Jacobian in Some Structured Nonlinear Least Squares Problems	2002	Åke Björck
+	Least Squares Problems	2001	Åke Björck
+	Methods for Large Scale Total Least Squares Problems	2000	Åke Björck Pinar Heggernes Pontus Matstoms
+	Stability of Conjugate Gradient and Lanczos Methods for Linear Least Squares Problems	1998	Åke Björck Tommy Elfving Zdeněk Strakoš
+	Newton and Rayleigh quotient methods for total least squares problems	1997	Åke Björck
+	Numerical stability of methods for solving augmented systems	1997	Åke Björck
+	Numerical methods for least squares problems	1996	Åke Björck
+	8. Least Squares Problems with Special Bases	1996	Åke Björck
+	9. Nonlinear Least Squares Problems	1996	Åke Björck
+	Numerical Methods for Least Squares Problems	1996	Åke Björck
+	An implicit shift bidiagonalization algorithm for ill-posed systems	1994	Åke Björck E. Grimme Paul Van Dooren
+ PDF Chat	Accurate Downdating of Least Squares Solutions	1994	Åke Björck H. Park Lars Eldén
+	Solution of augmented linear systems using orthogonal factorizations	1994	Åke Björck Christopher C. Paige
+	Numerics of Gram-Schmidt orthogonalization	1994	Åke Björck
+	Generalized and Sparse Least Squares Problems	1994	Åke Björck
+	Loss and Recapture of Orthogonality in the Modified Gram–Schmidt Algorithm	1992	Åke Björck Christopher C. Paige
+	Algorithms for Linear Least Squares Problems	1991	Åke Björck
+	Least squares methods	1990	Åke Björck
+	Exploiting the separability in the solution of systems of linear ordinary differential equations	1989	Åke Björck Zahari Zlatev
+	A bidiagonalization algorithm for solving large and sparse ill-posed systems of linear equations	1988	Åke Björck
+	Stability analysis of the method of seminormal equations for linear least squares problems	1987	Åke Björck
+	A General Updating Algorithm for Constrained Linear Least Squares Problems	1984	Åke Björck
+	Some methods for separating stiff components in initial value problems	1984	Åke Björck
+	A Schur method for the square root of a matrix	1983	Åke Björck Sven Hammarling
+	A direct method for the solution of sparse linear least squares problems	1980	Åke Björck Iain Duff
+	Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations	1979	Åke Björck Tommy Elfving
+	Comment on the Iterative Refinement of Least-Squares Solutions	1978	Åke Björck
+	Comment on the Iterative Refinement of Least-Squares Solutions	1978	Åke Björck
+	A new high order method of regula falsi type for computing a root of an equation	1973	Ned Anderson Åke Björck
+ PDF Chat	Numerical methods for computing angles between linear subspaces	1973	Åke Björck Gene H. Golub
+	An Iterative Algorithm for Computing the Best Estimate of an Orthogonal Matrix	1971	Åke Björck C. Bowie
+	Solution of Vandermonde Systems of Equations	1970	Åke Björck Víctor Pereyra
+ PDF Chat	Solution of Vandermonde systems of equations	1970	Åke Björck Víctor Pereyra
+	Iterative refinement of linear least squares solutions II	1968	Åke Björck
+	Iterative refinements of linear least squares solutions by Householder transformations	1968	Åke Björck Gene H. Golub
+	Iterative refinement of linear least squares solutions I	1967	Åke Björck
+	Solving linear least squares problems by Gram-Schmidt orthogonalization	1967	Åke Björck

Common Coauthors

Coauthor	Papers Together
Tommy Elfving	2
Christopher C. Paige	2
Gene H. Golub	2
Víctor Pereyra	2
Sven Hammarling	1
Ned Anderson	1
Paul Van Dooren	1
H. Park	1
Zahari Zlatev	1
Germund Dahlquist	1
Zdeněk Strakoš	1
Lars Eldén	1
Pontus Matstoms	1
Ulf Geir Indahl	1
Iain Duff	1
E. Grimme	1
C. Bowie	1
Pinar Heggernes	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Numerical methods for solving linear least squares problems	1965	Gene H. Golub	11
+	Solving linear least squares problems by Gram-Schmidt orthogonalization	1967	Åke Björck	10
+	Stability analysis of the method of seminormal equations for linear least squares problems	1987	Åke Björck	9
+	Solving Least Squares Problems	1995	C. L. Lawson Richard Hanson	9
+	Numerical Methods for Least Squares Problems	1996	Åke Björck	8
+	Iterative refinement of linear least squares solutions II	1968	Åke Björck	8
+ PDF Chat	LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares	1982	Christopher C. Paige Michael A. Saunders	8
+	Note on the iterative refinement of least squares solution	1966	Gene H. Golub J. H. Wilkinson	8
+	Solution of sparse linear least squares problems using givens rotations	1980	Alan George Michael T. Heath	8
+	Methods of conjugate gradients for solving linear systems	1952	Magnus R. Hestenes Eduard Stiefel	7
+	Iterative refinement of linear least squares solutions I	1967	Åke Björck	7
+	Perturbation theory for pseudo-inverses	1973	Per-Åke Wedin	7
+	Algorithms for the regularization of ill-conditioned least squares problems	1977	Lars Eldén	6
+	Elimination with weighted row combinations for solving linear equations and least squares problems	1965	Friedrich L. Bauer	6
+	Numerics of Gram-Schmidt orthogonalization	1994	Åke Björck	5
+	METHODS FOR SPARSE LINEAR LEAST SQUARES PROBLEMS	1976	ÅKE BJÜRCK	5
+ PDF Chat	Sparse QR factorization in MATLAB	1994	Pontus Matstoms	5
+	Large-scale geodetic least-squares adjustment by dissection and orthogonal decomposition	1980	Gene H. Golub Robert J. Plemmons	5
+	Linear least squares solutions by householder transformations	1965	Peter A. Businger Gene H. Golub	5
+ PDF Chat	An error analysis of a method for solving matrix equations	1973	Christopher C. Paige	5
+	A Practical Examination of Some Numerical Methods for Linear Discrete Ill-Posed Problems	1979	J. M. Varah	5
+	Rank-Deficient and Discrete Ill-Posed Problems	1998	Per Christian Hansen	5
+	The Collinearity Problem in Linear Regression. The Partial Least Squares (PLS) Approach to Generalized Inverses	1984	Svante Wold Axel Ruhe Herman Wold William J. Dunn	5
+	Solving Least Squares Problems.	1977	Robert F. Ling C. L. Lawson Richard Hanson	5
+ PDF Chat	An Analysis of the Total Least Squares Problem	1980	Gene H. Golub Charles F. Van Loan	4
+	Updating the singular value decomposition	1978	James R. Bunch Christopher P. Nielsen	4
+	Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter	1979	Gene H. Golub Michael T. Heath Grace Wahba	4
+	A Comparison Between Some Direct and Iterative Methods for Certain Large Scale Geodetic Least Squares Problems	1986	Gene H. Golub Pierre Manneback Philippe L. Toint	4
+	Research, Development, and LINPACK	1977	G. W. Stewart	4
+ PDF Chat	Least squares, singular values and matrix approximations	1968	Gene H. Golub	4
+	Iterative methods for linear least squares problems.	1974	Ying-Tung Chen	4
+	The Total Least Squares Problem	1991	Sabine Van Huffel Joos Vandewalle	4
+ PDF Chat	A Bidiagonalization-Regularization Procedure for Large Scale Discretizations of Ill-Posed Problems	1981	Dianne P. O’Leary John A. Simmons	4
+	Least squares with a quadratic constraint	1980	Walter Gander	4
+ PDF Chat	Extensions and applications of the Householder algorithm for solving linear least squares problems	1969	Richard Hanson C. L. Lawson	4
+	A Report on the Accuracy of Some Widely Used Least Squares Computer Programs	1970	Roy H. Wampler	3
+ PDF Chat	SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS	1960	L. Mirsky	3
+	Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations	1979	Åke Björck Tommy Elfving	3
+	Numerical methods for least squares problems	1996	Åke Björck	3
+	Error Analysis of the Lanczos Algorithm for Tridiagonalizing a Symmetric Matrix	1976	Christopher C. Paige	3
+	The Least Squares Solution of Overdetermined Linear Equations Having Band or Augmented Band Structure	1981	M G Cox	3
+	Iterative Methods for the Solution of Equations.	1967	David M. Young J. F. Traub	3
+ PDF Chat	Solutions to Weighted Least Squares Problems by Modified Gram-Schmidt with Iterative Refinement	1979	Roy H. Wampler	3
+	A Stable and Efficient Algorithm for Nonlinear Orthogonal Distance Regression	1987	Paul T. Boggs Richard H. Byrd Robert B. Schnabel	3
+	A Comparison of Some Methods for the Solution of Sparse Overdetermined Systems of Linear Equations	1976	I. S. Duff John Reid	3
+	On certain iterative methods for solving linear systems	1960	A. S. Householder Friedrich L. Bauer	3
+	Iterative refinements of linear least squares solutions by Householder transformations	1968	Åke Björck Gene H. Golub	3
+	Least Squares Computations by Givens Transformations Without Square Roots	1973	W. Morven Gentleman	3
+	On the Solution of Singular and Semidefinite Linear Systems by Iteration	1965	Herbert B. Keller	3
+	Block-iterative methods for consistent and inconsistent linear equations	1980	Tommy Elfving	3