Björck, Åke; Eldén, Lars Obituary: Axel Ruhe (1942–2015). (English) Zbl 1322.01033 BIT 55, No. 3, 621-623 (2015). MSC: 01A70 PDF BibTeX XML Cite \textit{Å. Björck} and \textit{L. Eldén}, BIT 55, No. 3, 621--623 (2015; Zbl 1322.01033) Full Text: DOI
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
Leon, Steven J.; Björck, Åke; Gander, Walter Gram-Schmidt orthogonalization: 100 years and more. (English) Zbl 1313.65086 Numer. Linear Algebra Appl. 20, No. 3, 492-532 (2013). MSC: 65F25 65-02 65-03 65F10 PDF BibTeX XML Cite \textit{S. J. Leon} et al., Numer. Linear Algebra Appl. 20, No. 3, 492--532 (2013; Zbl 1313.65086) Full Text: DOI
Dahlquist, Germund; Björck, Åke Numerical methods in scientific computing. Vol. 1. (English) Zbl 1153.65001 Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-44-3/hbk; 978-0-89871-778-5/ebook). xxvii, 717 p. (2008). Reviewer: Willy Govaerts (Gent) MSC: 65-01 65H05 65Q05 65Dxx 65Gxx 65Fxx 65C05 65C10 65B05 65T50 65Hxx 65Y15 PDF BibTeX XML Cite \textit{G. Dahlquist} and \textit{Å. Björck}, Numerical methods in scientific computing. Vol. 1. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2008; Zbl 1153.65001) 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
Dahlquist, Germund; Björck, Åke Numerical methods. Translated from the Swedish by Ned Anderson. Reprint of the 1974 English translation. (English) Zbl 1029.65002 Mineola, NY: Dover Publications. xviii, 573 p. (2003). MSC: 65-01 65G50 65B05 65B10 65Dxx 65Fxx 65Hxx 65Lxx 65T40 65Kxx 65Cxx 65S05 PDF BibTeX XML Cite \textit{G. Dahlquist} and \textit{Å. Björck}, Numerical methods. Translated from the Swedish by Ned Anderson. Reprint of the 1974 English translation. Mineola, NY: Dover Publications (2003; Zbl 1029.65002)
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)
Adlers, Mikael; Björck, Åke Matrix stretching for sparse least squares problems. (English) Zbl 0982.65046 Numer. Linear Algebra Appl. 7, No. 2, 51-65 (2000). MSC: 65F20 65F50 PDF BibTeX XML Cite \textit{M. Adlers} and \textit{Å. Björck}, Numer. Linear Algebra Appl. 7, No. 2, 51--65 (2000; Zbl 0982.65046) Full Text: DOI
Björck, Åke; Heggernes, P.; Matstoms, P. Methods for large scale total least squares problems. (English) Zbl 0974.65037 SIAM J. Matrix Anal. Appl. 22, No. 2, 413-429 (2000). Reviewer: A.Meister (Hamburg) MSC: 65F20 PDF BibTeX XML Cite \textit{Å. Björck} et al., SIAM J. Matrix Anal. Appl. 22, No. 2, 413--429 (2000; Zbl 0974.65037) Full Text: DOI
Björck, Åke; Yuan, J. Y. Preconditioners for least squares problems by LU factorization. (English) Zbl 0924.65034 ETNA, Electron. Trans. Numer. Anal. 8, 26-35 (1999). Reviewer: Petko Hr.Petkov (Sofia) MSC: 65F20 65F35 65F50 PDF BibTeX XML Cite \textit{Å. Björck} and \textit{J. Y. Yuan}, ETNA, Electron. Trans. Numer. Anal. 8, 26--35 (1999; Zbl 0924.65034) Full Text: EMIS EuDML
Björck, Åke; Elfving, Tommy; Strakous, Zdenuek Stability of conjugate gradient and Lanczos methods for linear least squares problems. (English) Zbl 0924.65035 SIAM J. Matrix Anal. Appl. 19, No. 3, 720-736 (1998). Reviewer: Juan Pedro Milaszewicz (Ioannina) MSC: 65F20 65F10 PDF BibTeX XML Cite \textit{Å. Björck} et al., SIAM J. Matrix Anal. Appl. 19, No. 3, 720--736 (1998; Zbl 0924.65035) Full Text: DOI
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 (ed.); Bunch, J. R. (ed.); Ortega, J. (ed.) Special issue dedicated to Beresford Parlett and William Kahan. Part 2. (English) Zbl 0828.00009 Numer. Linear Algebra Appl. 2, No. 3, 195-310 (1995). MSC: 00B15 PDF BibTeX XML Cite \textit{Å. Björck} (ed.) et al., Numer. Linear Algebra Appl. 2, No. 3, 195--310 (1995; Zbl 0828.00009)
Björck, Åke (ed.); Bunch, J. R. (ed.); Ortega, J. (ed.) Special issue dedicated to Beresford Parlett and William Kahan. Part 1. (English) Zbl 0828.00008 Numer. Linear Algebra Appl. 2, No. 2, 85-190 (1995). MSC: 00B15 PDF BibTeX XML Cite \textit{Å. Björck} (ed.) et al., Numer. Linear Algebra Appl. 2, No. 2, 85--190 (1995; Zbl 0828.00008)
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, Åke; Grimme, Eric; van Dooren, Paul An implicit shift bidiagonalization algorithm for ill-posed systems. (English) Zbl 0821.65023 BIT 34, No. 4, 510-534 (1994). Reviewer: Xie Shenquan (Xiangtan) MSC: 65F20 65F10 PDF BibTeX XML Cite \textit{Å. Björck} et al., BIT 34, No. 4, 510--534 (1994; Zbl 0821.65023) Full Text: DOI
Björck, Å.; Paige, C. C. Solution of augmented linear systems using orthogonal factorizations. (English) Zbl 0822.65021 BIT 34, No. 1, 1-24 (1994). Reviewer: F.Luban (Bucureşti) MSC: 65F20 65F25 65F05 65G50 PDF BibTeX XML Cite \textit{Å. Björck} and \textit{C. C. Paige}, BIT 34, No. 1, 1--24 (1994; Zbl 0822.65021) Full Text: DOI
Björck, Å.; Park, H.; Eldén, L. Accurate downdating of least squares solutions. (English) Zbl 0811.65034 SIAM J. Matrix Anal. Appl. 15, No. 2, 549-568 (1994). Reviewer: Xu Chengxian (Xian) MSC: 65F20 PDF BibTeX XML Cite \textit{Å. Björck} et al., SIAM J. Matrix Anal. Appl. 15, No. 2, 549--568 (1994; Zbl 0811.65034) Full Text: DOI
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.; Paige, C. C. Loss and recapture of orthogonality in the modified Gram-Schmidt algorithm. (English) Zbl 0747.65026 SIAM J. Matrix Anal. Appl. 13, No. 1, 176-190 (1992). Reviewer: S.Grzegorski (Lublin) MSC: 65F25 65F05 65F20 65G50 PDF BibTeX XML Cite \textit{Å. Björck} and \textit{C. C. Paige}, SIAM J. Matrix Anal. Appl. 13, No. 1, 176--190 (1992; Zbl 0747.65026) Full Text: DOI
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, Å.; Zlatev, Z. Exploiting the separability in the solution of systems of linear ordinary differential equations. (English) Zbl 0683.65052 Comput. Math. Appl. 18, No. 5, 421-438 (1989). Reviewer: A.de Castro MSC: 65L05 34A30 PDF BibTeX XML Cite \textit{Å. Björck} and \textit{Z. Zlatev}, Comput. Math. Appl. 18, No. 5, 421--438 (1989; Zbl 0683.65052) Full Text: DOI
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.); Plemmons, Robert J. (ed.); Schneider, Hans (ed.) Large scale matrix problems. (English) Zbl 0443.65010 New York, Oxford: North Holland. VI, 404 p. $ 39.95 (USA & Canada); $ 51.25 (1981). MSC: 65Fxx 65D10 65D07 41A15 90C33 90C20 15A09 15A18 15A23 PDF BibTeX XML
Björck, Å.; Duff, I. S. A direct method for the solution of sparse linear least squares problems. (English) Zbl 0471.65021 Linear Algebra Appl. 34, 43-67 (1980). MSC: 65F20 65D10 90C05 65K05 PDF BibTeX XML Cite \textit{Å. Björck} and \textit{I. S. Duff}, Linear Algebra Appl. 34, 43--67 (1980; Zbl 0471.65021) Full Text: DOI
Björck, Åke; Elfving, Tommy Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations. (English) Zbl 0409.65022 BIT, Nord. Tidskr. Inf.-behandl. 19, 145-163 (1979). MSC: 65F20 15A09 65C99 PDF BibTeX XML Cite \textit{Å. Björck} and \textit{T. Elfving}, BIT, Nord. Tidskr. Inf.-behandl. 19, 145--163 (1979; Zbl 0409.65022) Full Text: DOI
Björck, Åke; Golub, Gene H. Eigenproblems for matrices associated with periodic boundary conditions. (English) Zbl 0356.65029 SIAM Rev. 19, 5-16 (1977). MSC: 65F15 65F05 65L15 65N25 PDF BibTeX XML Cite \textit{Å. Björck} and \textit{G. H. Golub}, SIAM Rev. 19, 5--16 (1977; Zbl 0356.65029) Full Text: DOI
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; Golub, Gene H. Numerical methods for computing angles between linear subspaces. (English) Zbl 0282.65031 Math. Comput. 27, 579-594 (1973). MSC: 65F30 65F20 62H20 62-04 PDF BibTeX XML Cite \textit{Å. Björck} and \textit{G. H. Golub}, Math. Comput. 27, 579--594 (1973; Zbl 0282.65031) Full Text: DOI
Anderson, Ned; Björck, Åke A new high order method of regula falsi type for computing a root of an equation. (English) Zbl 0263.65054 BIT, Nord. Tidskr. Inf.-behandl. 13, 253-264 (1973). MSC: 65H05 PDF BibTeX XML Cite \textit{N. Anderson} and \textit{Å. Björck}, BIT, Nord. Tidskr. Inf.-behandl. 13, 253--264 (1973; Zbl 0263.65054) Full Text: DOI
Björck, Åke; Elfving, Tommy Algorithms for confluent Vandermonde systems. (English) Zbl 0255.65018 Numer. Math. 21, 130-137 (1973). MSC: 65F05 PDF BibTeX XML Cite \textit{Å. Björck} and \textit{T. Elfving}, Numer. Math. 21, 130--137 (1973; Zbl 0255.65018) Full Text: DOI EuDML
Björck, Åke; Dahlquist, Germund Numerische Methoden. Aus dem Schwedischen übersetzt von Norbert Krier und Peter Spellucci. (German) Zbl 0272.65002 München-Wien: R. Oldenbourg Verlag. XII, 374 S. mit 97 Abb. und 5 Tab. DM 44.00 (1972). MSC: 65-01 PDF BibTeX XML
Björck, Åke; Bowie, C. An iterative algorithm for computing the best estimate of an orthogonal matrix. (English) Zbl 0221.65075 SIAM J. numer. Anal. 8, 358-364 (1971). MSC: 65F30 65F25 PDF BibTeX XML Cite \textit{Å. Björck} and \textit{C. Bowie}, SIAM J. Numer. Anal. 8, 358--364 (1971; Zbl 0221.65075) Full Text: DOI
Björck, Åke; Pereyra, Victor Solution of Vandermonde systems of equations. (English) Zbl 0221.65054 Math. Comput. 24 (1970), 893-903 (1971). MSC: 65F05 PDF BibTeX XML Cite \textit{Å. Björck} and \textit{V. Pereyra}, Math. Comput. 24, 893--903 (1971; Zbl 0221.65054) Full Text: DOI
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)