Solving Linear Least Squares Problems by Gram-Schmidt Orthogonalization,
@article{bjor:67,
author = "{\AA}. Bj{\"o}rck",
year = "1967",
title = "Solving Linear Least Squares Problems by {Gram-Schmidt}
Orthogonalization",
journal = "BIT",
volume = "7",
pages = "1--21",
kwds = "qrd, grsch"
}
Iterative Refinement of Linear Least Squares Solutions I,
@article{bjor:67a,
author = "{\AA}. Bj{\"o}rck",
year = "1967",
title = "Iterative Refinement of Linear Least Squares Solutions {I}",
journal = "BIT",
volume = "7",
pages = "257--278",
kwds = "ir, grsch, qrd"
}
Iterative Refinement of Linear Least Squares Solutions II,
@article{bjor:68,
author = "{\AA}. Bj{\"o}rck",
year = "1968",
title = "Iterative Refinement of Linear Least Squares Solutions {II}",
journal = "BIT",
volume = "8",
pages = "8-30",
kwds = "ir, constr"
}
Iterative Refinement of Linear Least Squares Solution by Householder Transformation,
@article{bjgo:67,
author = "{\AA}. Bj{\"o}rck and G. H. Golub",
year = "1967",
title = "Iterative Refinement of Linear Least Squares Solution
by {Householder} Transformation",
journal = "BIT",
volume = "7",
pages = "322--337",
kwds = "ir, qrd"
}
Solution of Vandermonde System of Equations,
@article{bjpe:70,
author = "{\AA}. Bj{\"o}rck and V. Pereyra",
year = "1970",
title = "Solution of {Vandermonde} System of Equations",
journal = "Math. Comp.",
volume = "24",
pages = "893--903",
kwds = "vand"
}
An Iterative Algorithms for Computing the Best Estimate of an Orthogonal Matrix,
@article{bjbo:71,
author = "{\AA}. Bj{\"o}rck and C. Bowie",
year = "1971",
title = "An Iterative Algorithms for Computing the Best Estimate of
an Orthogonal Matrix",
journal = "SIAM J. Numer. Anal.",
volume = "8",
pages = "358--364",
kwds = "svd, orth, iter"
}
Algorithms for Confluent Vandermonde Systems,
@article{bjel:73,
author = "{\AA}. Bj{\"o}rck and T. Elfving",
year = "1973",
title = "Algorithms for Confluent {Vandermonde} Systems",
journal = "Numer. Math.",
volume = "21",
pages = "130--137",
kwds = "vand"
}
Numerical Methods for Computing Angles between Linear Subspaces,
@article{bjgo:73,
author = "{\AA}. Bj{\"o}rck and G. H. Golub",
year = "1973",
title = "Numerical Methods for Computing Angles between Linear Subspaces",
journal = "Math. Comp.",
volume = "27",
pages = "579--594",
kwds = "csd"
}
Methods for Sparse Least Squares Problems,
@inproceedings{bjor:76,
author = "{\AA}. Bj{\"o}rck",
year = "1976",
title = "Methods for Sparse Least Squares Problems",
pages = "177-199",
booktitle = "Sparse Matrix Computations",
editor = "J.R. Bunch and D. J. Rose",
publisher = "Academic Press",
address = "New York",
kwds = "sparse, survey"
}
Comment on the Iterative Refinement of Least Squares Solutions,
@article{bjor:78,
author = "{\AA}. Bj{\"o}rck",
year = "1978",
title = "Comment on the Iterative Refinement of Least Squares Solutions",
journal = "J. Amer. Statist. Assoc.",
volume = "73",
pages = "161--166",
kwds = "ir, sne"
}
Accelerated Projection Methods for Computing Pseudoinverse Solutions of Systems of Linear Equations,
@article{bjelf:79,
author = "{\AA}. Bj{\"o}rck and T. Elfving",
year = "1979",
title = "Accelerated Projection Methods for Computing Pseudoinverse
Solutions of Systems of Linear Equations",
journal = "BIT",
volume = "19",
pages = "145--163",
kwds = "ginv, iter, prll"
}
Methods in numerical algebra for ill-posed problems,
@techreport{bjel:79,
author = "{\AA}. Bj{\"o}rck and L. Eld\'en",
year = "1979",
title = "Methods in numerical algebra for ill-posed problems",
institution = "Department of Mathematics, Link{\"o}ping University",
type = "Technical Report",
number = "LiTH-MAT-R-1979-33",
kwds = "regul"
}
SSOR Preconditioning Methods for Sparse Least Squares Problems,
@inproceedings{bjor:79,
author = "{\AA}. Bj{\"o}rck",
year = "1979",
title = "{SSOR} Preconditioning Methods for Sparse Least Squares Problems",
pages = "21--25",
booktitle = "In Proceedings of the Computer Science and Statistics
12th Annual Symposium on the Interface",
publisher = "University of Waterloo, Canada",
address = "",
kwds = "iter, precond"
}
A Direct Method for the Solution of Sparse Linear Least Squares Problems,
@article{bjdu:80,
author = "{\AA}. {Bj{\"o}rck} and I. S. Duff",
year = "1980",
title = "A Direct Method for the Solution of Sparse Linear Least Squares
Problems",
journal = "Linear Algebra Appl.",
volume = "34",
pages = "43-67",
kwds = "ne, lud, sparse"
}
Large--Scale Matrix Problems,
@book{bjpl:81,
author = "{\AA}. Bj{\"o}rck and R. J. Plemmons and H. Schneider",
year = "1981",
title = "Large--Scale Matrix Problems",
publisher = "North-Holland",
address = "New York",
kwds = "sparse, survey"
}
A General Updating Algorithm for Constrained Linear Least Squares problems,
@article{bjor:84,
author = "{\AA}. Bj{\"o}rck",
year = "1984",
title = "A General Updating Algorithm for Constrained Linear Least Squares
problems",
journal = " SIAM J. Sci. Statist. Comput.",
volume = "5",
pages = "394--402.",
kwds = "upd, sparse"
}
Stability Analysis of the Method of Semi-Normal Equations for Least Squares Problems,
@article{bjor:87,
author = "{\AA}. Bj{\"o}rck",
year = "1987",
title = "Stability Analysis of the Method of Semi-Normal Equations
for Least Squares Problems",
journal = "Linear Algebra Appl.",
volume = "88/89",
pages = "31--48",
kwds = "err, ne"
}
A Bidiagonalization Algorithm for Solving Ill-posed System of Linear Equations,
@article{bjor:88,
author = "{\AA}. Bj{\"o}rck",
year = "1988",
title = "A Bidiagonalization Algorithm for Solving Ill-posed System of Linear
Equations",
journal = "BIT",
volume = "28",
pages = "659--670",
kwds = "sparse, lanczos"
}
A Direct Method for Sparse Least Squares Problems with lower and Upper Bounds,
@article{bjor:88a,
author = "{\AA}. Bj{\"o}rck",
year = "1988",
title = "A Direct Method for Sparse Least Squares Problems with lower and
Upper Bounds",
journal = " Numer. Math.",
volume = "54",
pages = "19--32",
kwds = "constr"
}
Iterative Refinement and Reliable Computing,
@inproceedings{bjor:90b,
author = "{\AA}. Bj{\"o}rck",
year = "1990",
title = "Iterative Refinement and Reliable Computing",
pages = "249--266",
booktitle = "Reliable Numerical Computation",
editor = "M. G. Cox and S. J. Hammarling",
publisher = "Clarendon Press",
address = "Oxford",
kwds = ""
}
Least Squares Methods,
@incollection{bjor:90c,
author = "{\AA}. Bj{\"o}rck",
year = "1990",
title = "Least Squares Methods",
editor = "P. G. Ciarlet and J. L. Lions",
booktitle = "Handbook of Numerical Analysis",
publisher = "Elsevier/North Holland",
volume = "I. Solution of Equations in $R^n$. Part 1.",
pages = "466--647",
address = "Amsterdam",
kwds = "survey"
}
Error Analysis of Least Squares Algorithms,
@inproceedings{bjor:91,
author = "{\AA}. Bj{\"o}rck",
year = "1991",
title = "Error Analysis of Least Squares Algorithms",
pages = "41--73",
booktitle = "Numerical Linear Algebra, Digital Signal Processing
and Parallel Algorithms",
series = "NATO ASI Series",
editor = "G. H. Golub and P. Van Dooren",
publisher = "Springer-Verlag",
address = "Berlin",
kwds = "err, sigp"
}
Component-wise Perturbation Analysis and Errors Bounds for Linear Least Square Solutions,
@article{bjor:91a,
author = "{\AA}. Bj{\"o}rck",
year = "1991",
title = "Component-wise Perturbation Analysis and Errors Bounds for
Linear Least Square Solutions",
journal = "BIT",
volume = "31",
pages = "238--244",
kwds = "pert, pert"
}
Algorithms for Linear Least Squares Problems,
@inproceedings{bjor:91b,
author = "{\AA}. Bj{\"o}rck",
year = "1991",
title = "Algorithms for Linear Least Squares Problems",
pages = "57--92",
booktitle = "Computer Algorithms for Solving Linear Algebraic Equations;
The State of the Art.",
series = "NATO ASI Series F: Computer and Systems Sciences",
volume = "Vol. 77",
editor = "E. Spedicato",
publisher = "Springer-Verlag",
address = "Berlin",
kwds = "survey"
}
Pivoting and Stability in the Augmented System Method,
@inproceedings{bjor:92,
author = "{\AA}. Bj{\"o}rck",
year = "1992",
title = "Pivoting and Stability in the Augmented System Method",
pages = "1--16",
booktitle = "Numerical Analysis 1991: Proceedings of the 14th
Dundee Conference, June 1991",
editor = "D. F. Griffiths and G. A. Watson",
publisher = "Longman Scientific and Technical",
series = "Pitman Research Notes in Mathematics 260",
address = "",
kwds = "augms, err, wlsq"
}
Loss and Recapture of Orthogonality in the Modified Gram-Schmidt Algorithm,
@article{bjpa:92,
author = "{\AA}. Bj{\"o}rck and C. C. Paige",
year = "1992",
title = "Loss and Recapture of Orthogonality in the Modified {Gram-Schmidt}
Algorithm",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "13",
pages = "176--190",
kwds = "qrd, grsch"
}
Numerics of Gram-Schmidt Orthogonalization,
@article{bjor:94,
author = "{\AA}. Bj{\"o}rck",
year = "1994",
title = "Numerics of {Gram-Schmidt} Orthogonalization",
journal = "Linear Algebra Appl.",
volume = "197--198",
pages = "297--316",
kwds = "survey, grsch"
}
Generalized and Sparse Least Squares Problems,
@inproceedings{bjor:94a,
author = "{\AA}. Bj{\"o}rck",
year = "1994",
title = "Generalized and Sparse Least Squares Problems",
pages = "37--80",
booktitle = "Algorithms for Continuous Optimization;
The State of the Art.",
series = "NATO ASI Series C: Mathematical and Physical Sciences",
volume = "Vol. 434",
editor = "E. Spedicato",
publisher = "Kluwer Academic Publisher",
address = "Dordrecht",
kwds = "survey"
}
Accurate Downdating of Least Squares Solutions,
@article{bjep:94,
author = "{\AA}. Bj{\"o}rck and L. Eld\'en and H. Park",
year = "1994",
title = "Accurate Downdating of Least Squares Solutions",
journal = "SIAM J. Matrix Anal. Appl.",
volume = "15",
pages = "549--568",
kwds = ",sne, downd"
}
An Implicit Bidiagonalization Algorithm for Ill-Posed Systems,
@article{bjgv:94,
author = "{\AA}. Bj{\"o}rck and E. Grimme and P. Van Dooren",
year = "1994",
title = "An Implicit Bidiagonalization Algorithm for Ill-Posed Systems",
journal = "BIT",
volume = "34",
pages = "510--534",
kwds = "regul, illp, lanczos"
}
Solution of Augmented Linear Systems using Orthogonal Factorizations,
@article{bjpa:94,
author = "{\AA}. Bj{\"o}rck and C. C. Paige",
year = "1994",
title = "Solution of Augmented Linear Systems using Orthogonal
Factorizations",
journal = "BIT",
volume = "34",
pages = "1--26",
kwds = "qrd, grsch, augms"
}
Numerical Methods for Least Squares Problems,
@book{bjor:96,
author = "{\AA}. Bj{\"o}rck",
year = "1996",
title = " Numerical Methods for Least Squares Problems",
publisher = "SIAM",
address = "Philadelphia",
kwds = "survey, sparse, iter"
}
Numerical stability of methods for solving augmented systems,
@inproceedings{bjor:96b,
author = "{\AA}. Bj{\"o}rck",
year = "1996b",
title = "Numerical stability of methods for solving augmented systems",
pages = "",
booktitle = "Proceedings on Optimization and Nonlinear Analysis,
Joint AMS-IMU Conference, Jerusalem, May 1995",
series = "NATO-ASI Series C: Mathematical and Physical Sciences",
volume = "Vol. 434",
editor = "S. Reich and Y. Censor",
publisher = "AMS",
kwds = "augms"
}
Newton and Rayleigh Quotient Methods for Total Least Squares Problems,
@inproceedings{bjor:97,
author = "{\AA}. Bj{\"o}rck",
year = "1997",
title = "Newton and {R}ayleigh Quotient Methods for Total Least Squares Problems",
pages = "149--160",
booktitle = "Recent Advances in Total Least Squares Techniques and
Errors-in-Variables Modeling",
editor = "S. Van Huffel",
publisher = "SIAM",
address = "Philadelphia",
kwds = "tls"
}