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Göllmann, Laurenz

Linear algebra in the algebraic context. 2nd revised and expanded edition. (Lineare Algebra im algebraischen Kontext.) (German) Zbl 1437.15001

Lehrbuch. Berlin: Springer Spektrum (ISBN 978-3-662-61737-3/pbk; 978-3-662-61738-0/ebook). xiv, 611 p. (2020).

MSC: 15-01 00A05 15A03 15A06 15A15 15A18 15A21 15A23 15A63

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Abderramán Marrero, J.

A reliable Givens-LU approach for solving opposite-bordered tridiagonal linear systems. (English) Zbl 1442.65029

Comput. Math. Appl. 76, No. 10, 2409-2420 (2018).

MSC: 65F05 15A06

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Bilski, Jarosław; Kowalczyk, Bartosz; Żurada, Jacek M.

Parallel implementation of the Givens rotations in the neural network learning algorithm. (English) Zbl 1486.68141

Rutkowski, Leszek (ed.) et al., Artificial intelligence and soft computing. 16th international conference, ICAISC 2017, Zakopane, Poland, June 11–15, 2017. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 10245, 14-24 (2017).

MSC: 68T05 15A23 65F99 65Y05 68W35

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Göllmann, Laurenz

Lineare algebra in the algebraic context. (Lineare Algebra im algebraischen Kontext.) (German) Zbl 1382.15001

Springer-Lehrbuch. Berlin: Springer Spektrum (ISBN 978-3-662-54342-9/pbk; 978-3-662-54343-6/ebook). xii, 570 p. (2017).

Reviewer: Frank Uhlig (Auburn)

MSC: 15-01 00A05 15A03 15A06 15A15 15A18 15A21 15A23 15A63

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Abderramán Marrero, J.

A numerical solver for general bordered tridiagonal matrix equations. (English) Zbl 1368.65037

Comput. Math. Appl. 72, No. 11, 2731-2740 (2016).

MSC: 65F05 15A24

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Klein, André; Spreij, Peter

Transformed statistical distance measures and the Fisher information matrix. (English) Zbl 1239.62061

Linear Algebra Appl. 437, No. 2, 692-712 (2012).

MSC: 62H05 15B99 62M10 62H99

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Mastronardi, N.; Van Barel, M.; Vandebril, R.

A fast algorithm for the recursive calculation of dominant singular subspaces. (English) Zbl 1154.65319

J. Comput. Appl. Math. 218, No. 2, 238-246 (2008).

MSC: 65F30 15A15 15A09 15A23

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Janovská, Drahoslava; Opfer, Gerhard

Fast Givens transformation for quaternion valued matrices applied to Hessenberg reductions. (English) Zbl 1078.65033

ETNA, Electron. Trans. Numer. Anal. 20, 1-26 (2005).

Reviewer: R. P. Tewarson (Stony Brook)

MSC: 65F25 65F35 15B33

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Janovská, D.; Opfer, G.

Givens’ transformation applied to quaternion valued vectors. (English) Zbl 1052.65030

BIT 43, Suppl., 991-1002 (2003).

Reviewer: Frank Uhlig (Auburn)

MSC: 65F25 65F30 15B33 15A04 12E15 68W30

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Pan, C.-T.

A modification to the LINPACK downdating algorithm. (English) Zbl 0718.65014

BIT 30, No. 4, 707-722 (1990).

Reviewer: Shenquan Xie (Xiangtan)

MSC: 65F05 15A23

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Qiao, Sanzheng

Hybrid algorithm for fast Toeplitz orthogonalization. (English) Zbl 0629.65031

Numer. Math. 53, No. 3, 351-366 (1988).

MSC: 65F05 65F20 65F25 15A23

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Chun, J.; Kailath, T.; Lev-Ari, H.

Fast parallel algorithms for QR and triangular factorizations. (English) Zbl 0632.65023

SIAM J. Sci. Stat. Comput. 8, 899-913 (1987).

Reviewer: V.Mehrmann

MSC: 65F05 65Y05 15A23

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Hanson, R. J.; Krogh, F. T.

Translation of algorithm 539: PC-BLAS, basic linear algebra subprograms for FORTRAN usage with the INTEL 8087, 80287 numeric data processor. (English) Zbl 0626.65044

ACM Trans. Math. Softw. 13, 311-317 (1987).

MSC: 65F99 15-04

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Lascaux, P.; Théodor, R.

Analyse numérique matricielle appliquée à l’art de l’ingénieur. Tome 1. (French) Zbl 0601.65016

É. S. I. Paris etc.: Masson. XXI, 400 p. (1986).

Reviewer: M.Bernadou

MSC: 65Fxx 65-01 15-01 65N22 65G50 15A23 00A06

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Found 14 Documents (Results 1–14)

Linear algebra in the algebraic context. 2nd revised and expanded edition. (Lineare Algebra im algebraischen Kontext.) (German) Zbl 1437.15001

A reliable Givens-LU approach for solving opposite-bordered tridiagonal linear systems. (English) Zbl 1442.65029

Parallel implementation of the Givens rotations in the neural network learning algorithm. (English) Zbl 1486.68141

Lineare algebra in the algebraic context. (Lineare Algebra im algebraischen Kontext.) (German) Zbl 1382.15001

A numerical solver for general bordered tridiagonal matrix equations. (English) Zbl 1368.65037

Transformed statistical distance measures and the Fisher information matrix. (English) Zbl 1239.62061

A fast algorithm for the recursive calculation of dominant singular subspaces. (English) Zbl 1154.65319

Fast Givens transformation for quaternion valued matrices applied to Hessenberg reductions. (English) Zbl 1078.65033

Givens’ transformation applied to quaternion valued vectors. (English) Zbl 1052.65030

A modification to the LINPACK downdating algorithm. (English) Zbl 0718.65014

Hybrid algorithm for fast Toeplitz orthogonalization. (English) Zbl 0629.65031

Fast parallel algorithms for QR and triangular factorizations. (English) Zbl 0632.65023

Translation of algorithm 539: PC-BLAS, basic linear algebra subprograms for FORTRAN usage with the INTEL 8087, 80287 numeric data processor. (English) Zbl 0626.65044

Analyse numérique matricielle appliquée à l’art de l’ingénieur. Tome 1. (French) Zbl 0601.65016

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