Björck, Åke Numerical methods in matrix computations. (English) Zbl 1322.65047 Texts in Applied Mathematics 59. Cham: Springer (ISBN 978-3-319-05088-1/hbk; 978-3-319-05089-8/ebook). xvi, 800 p. (2015). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65Fxx 65-01 65F05 65F15 65F10 65F20 PDF BibTeX XML Cite \textit{Å. Björck}, Numerical methods in matrix computations. Cham: Springer (2015; Zbl 1322.65047) Full Text: DOI
Björck, Åke Stability of two direct methods for bidiagonalization and partial least squares. (English) Zbl 1301.65026 SIAM J. Matrix Anal. Appl. 35, No. 1, 279-291 (2014). Reviewer: Iveta Hnetynkova (Praha) MSC: 65F20 65F25 65F05 PDF BibTeX XML Cite \textit{Å. Björck}, SIAM J. Matrix Anal. Appl. 35, No. 1, 279--291 (2014; Zbl 1301.65026) Full Text: DOI
Björck, Åke The calculation of linear least squares problems. (English) Zbl 1118.65326 Acta Numerica 13, 1-53 (2004). MSC: 65F20 65-02 PDF BibTeX XML Cite \textit{Å. Björck}, Acta Numerica 13, 1--53 (2004; Zbl 1118.65326) Full Text: DOI
Björck, Åke QR factorization of the Jacobian in some structured nonlinear least squares problems. (English) Zbl 0995.65019 Van Huffel, Sabine (ed.) et al., Total least squares and errors-in-variables modeling. Analysis, algorithms and applications. Dordrecht: Kluwer Academic Publishers. 225-234 (2002). Reviewer: Hans Benker (Merseburg) MSC: 65D10 65K05 90C20 PDF BibTeX XML Cite \textit{Å. Björck}, in: Total least squares and errors-in-variables modeling. Analysis, algorithms and applications. Dordrecht: Kluwer Academic Publishers. 225--234 (2002; Zbl 0995.65019)
Björck, Åke Newton and Rayleigh quotient methods for total least squares problems. (English) Zbl 0879.65105 Van Huffel, Sabine (ed.), Recent advances in total least squares techniques and errors-in-variables modeling. Proceedings of the 2nd international workshop on total least squares and errors-in-variables modeling, Leuven, Belgium, August 21-24, 1996. Philadelphia, PA: Society for Industrial and Applied Mathematics, SIAM. 149-160 (1997). MSC: 65C99 62J05 65F20 PDF BibTeX XML Cite \textit{Å. Björck}, in: Recent advances in total least squares techniques and errors-in-variables modeling. Proceedings of the 2nd international workshop on total least squares and errors-in-variables modeling, Leuven, Belgium, August 21-24, 1996. Philadelphia, PA: Society for Industrial and Applied Mathematics, SIAM. 149--160 (1997; Zbl 0879.65105)
Björck, Åke Numerical stability of methods for solving augmented systems. (English) Zbl 0868.65025 Censor, Yair (ed.) et al., Recent developments in optimization theory and nonlinear analysis. AMS/IMU special session on optimization and nonlinear analysis, May 24–26, 1995, Jerusalem, Israel. Providence, RI: American Mathematical Society. Contemp. Math. 204, 51-60 (1997). MSC: 65F35 65F50 65F05 65K05 90C20 PDF BibTeX XML Cite \textit{Å. Björck}, Contemp. Math. 204, 51--60 (1997; Zbl 0868.65025)
Björck, Åke Numerical methods for least squares problems. (English) Zbl 0847.65023 Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xvii, 408 p. (1996). Reviewer: H.Späth (Oldenburg) MSC: 65F20 65-02 65C99 62J05 65J10 PDF BibTeX XML Cite \textit{Å. Björck}, Numerical methods for least squares problems. Philadelphia, PA: SIAM (1996; Zbl 0847.65023)
Björck, Åke Generalized and sparse least squares problems. (English) Zbl 0828.90100 Spedicato, Emilio (ed.), Algorithms for continuous optimization: the state of the art. Proceedings of the NATO Advanced Study Institute, Il Ciocco, Barga, Italy, September 5-18, 1993. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 434, 37-80 (1994). MSC: 90C20 90-02 90-08 PDF BibTeX XML Cite \textit{Å. Björck}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 434, 37--80 (1994; Zbl 0828.90100)
Björck, Å. Numerics of Gram-Schmidt orthogonalization. (English) Zbl 0801.65039 Linear Algebra Appl. 197-198, 297-316 (1994). Reviewer: A.Galántai (Miskolc-Egyetemvaros) MSC: 65F25 65F05 PDF BibTeX XML Cite \textit{Å. Björck}, Linear Algebra Appl. 197--198, 297--316 (1994; Zbl 0801.65039) Full Text: DOI
Björck, Å. Pivoting and stability in the augmented system method. (English) Zbl 0796.65056 Griffiths, D. F. (ed.) et al., Numerical analysis 1991. Proceedings of the 14th Dundee conference, June 25-28, 1991, Dundee, UK. Dundee: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 260, 1-16 (1992). Reviewer: V.Mehrmann (Chemnitz) MSC: 65F20 65F35 PDF BibTeX XML Cite \textit{Å. Björck}, in: Numerical analysis 1991. Proceedings of the 14th Dundee conference, June 25-28, 1991, Dundee, UK. Dundee: Longman Scientific \& Technical; New York: John Wiley \& Sons. 1--16 (1992; Zbl 0796.65056)
Björck, Å. Algorithms for linear least squares problems. (English) Zbl 0734.65031 Computer algorithms for solving linear algebraic equations. The state of the art, NATO ASI Ser., Ser. F 77, 57-92 (1991). Reviewer: S.Filippi (Gießen) MSC: 65F20 65F10 65F35 PDF BibTeX XML
Björck, Å. Component-wise perturbation analysis and error bounds for linear least squares solutions. (English) Zbl 0732.65043 BIT 31, No. 2, 238-244 (1991). Reviewer: J.Abaffy (Budapest) MSC: 65F20 PDF BibTeX XML Cite \textit{Å. Björck}, BIT 31, No. 2, 238--244 (1991; Zbl 0732.65043) Full Text: DOI
Björck, Åke Error analysis of least squares algorithms. (English) Zbl 0757.65047 Numerical linear algebra, digital signal processing and parallel algorithms, Proc. NATO ASI, Leuven/Belg. 1988, NATO ASI Ser., Ser. F 70, 41-73 (1991). Reviewer: Petko Hr.Petkov (Sofia) MSC: 65F20 65F35 65G50 PDF BibTeX XML
Björck, Åke Iterative refinement and reliable computing. (English) Zbl 0718.65012 Reliable numerical computation, Proc. Conf. in Honour of J. H. Wilkinson, Teddington/UK, 249-266 (1990). Reviewer: H.R.Schwarz (Zürich) MSC: 65F05 65-02 65F10 PDF BibTeX XML
Björck, Åke Least squares methods. (English) Zbl 0875.65055 Ciarlet, P. G. (ed.) et al., Finite difference methods (Part 1). Solution of equations in \(R^ n\) (Part 1). Amsterdam etc.: North-Holland (ISBN 0-444-70366-7). Handbook of Numerical Analysis 1, 465-652 (1990). MSC: 65F20 65D10 65K05 90C20 PDF BibTeX XML Cite \textit{Å. Björck}, Handb. Numer. Anal. 1, 465--652 (1990; Zbl 0875.65055)
Björck, A. The direct method of solution of the sparse least squares problem with upper and lower constraints. (Russian) Zbl 0669.65030 Vychisl. Protsessy Sist. 6, 61-75 (1988). Reviewer: S.Grzegórski MSC: 65F20 65K05 65F50 65F05 90C20 PDF BibTeX XML Cite \textit{A. Björck}, Vychisl. Prots. Sist. 6, 61--75 (1988; Zbl 0669.65030)
Björck, Åke A direct method for sparse least squares problems with lower and upper bounds. (English) Zbl 0659.65039 Numer. Math. 54, No. 1, 19-32 (1988). Reviewer: G.Maeß MSC: 65F20 65F05 PDF BibTeX XML Cite \textit{Å. Björck}, Numer. Math. 54, No. 1, 19--32 (1988; Zbl 0659.65039) Full Text: DOI EuDML
Björck, Åke A bidiagonalization algorithm for solving large and sparse ill-posed systems of linear equations. (English) Zbl 0658.65041 BIT 28, No. 3, 659-670 (1988). Reviewer: G.Maeß MSC: 65F20 65N22 PDF BibTeX XML Cite \textit{Å. Björck}, BIT 28, No. 3, 659--670 (1988; Zbl 0658.65041) Full Text: DOI
Björck, Å Stability analysis of the method of seminormal equations for linear least squares problems. (English) Zbl 0616.65043 Linear Algebra Appl. 88-89, 31-48 (1987). Reviewer: V.Mehrmann MSC: 65F20 65F05 15A23 PDF BibTeX XML Cite \textit{Å Björck}, Linear Algebra Appl. 88--89, 31--48 (1987; Zbl 0616.65043) Full Text: DOI
Björck, Åke A general updating algorithm for constrained linear least square problems. (English) Zbl 0562.65018 SIAM J. Sci. Stat. Comput. 5, 394-403 (1984). Reviewer: S.Zlobec MSC: 65F20 65F05 PDF BibTeX XML Cite \textit{Å. Björck}, SIAM J. Sci. Stat. Comput. 5, 394--403 (1984; Zbl 0562.65018) Full Text: DOI
Björck, Å. Some methods for separating stiff components in initial value problems. (English) Zbl 0542.65037 Numerical analysis, Proc. 10th bienn. Conf., Dundee/Scotl. 1983, Lect. Notes Math. 1066, 30-43 (1984). Reviewer: M.Bartušek MSC: 65L05 PDF BibTeX XML
Björck, Åke (ed.) Symposium on mathematical and numerical analysis of inverse and ill-posed problems, 11–13 January 1977, Linköping, Sweden. Abstracts. (English) Zbl 0351.00013 Report LiTH-MAT-R-77-5. Linköping, Sweden: Department of Mathematics, Linköping University. Not consecutively paged. (1977). MSC: 00Bxx 35-06 76-06 93-06 62-06 65-06 35R25 35R30 65M30 PDF BibTeX XML
Björck, Åke Methods for sparse linear least squares problems. (English) Zbl 0351.65004 Sparse Matrix Comput., Proc. Symp. Lemont 1975, 177-199 (1976). MSC: 65D10 PDF BibTeX XML
Björck, Åke Iterative refinement of linear least squares solutions. II. (English) Zbl 0177.43204 BIT, Nord. Tidskr. Inf.-behandl. 8, 8-30 (1968). PDF BibTeX XML Cite \textit{Å. Björck}, BIT, Nord. Tidskr. Inf.-behandl. 8, 8--30 (1968; Zbl 0177.43204) Full Text: DOI
Björck, Åke Solving linear least squares problems by Gram-Schmidt orthogonalization. (English) Zbl 0183.17802 BIT, Nord. Tidskr. Inf.-behandl. 7, 1-21 (1967). PDF BibTeX XML Cite \textit{Å. Björck}, BIT, Nord. Tidskr. Inf.-behandl. 7, 1--21 (1967; Zbl 0183.17802) Full Text: DOI
Björck, Åke Iterative refinement of linear least squares solutions. I. (English) Zbl 0159.20404 BIT, Nord. Tidskr. Inf.-behandl. 7, 257-278 (1967). PDF BibTeX XML Cite \textit{Å. Björck}, BIT, Nord. Tidskr. Inf.-behandl. 7, 257--278 (1967; Zbl 0159.20404) Full Text: DOI
Björck, Åke On solving certain differential equations with the \(\tau\)-method. (Swedish) Zbl 0101.30202 Nordisk Mat. Tidskr. 9, 65-70 (1961). PDF BibTeX XML Cite \textit{Å. Björck}, Nordisk Mat. Tidskr. 9, 65--70 (1961; Zbl 0101.30202)