Výsledky vyhledávání - "Gustavson, Fred"

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Rectangular Full Packed Format for Cholesky's Algorithm: Factorization, Solution and Inversion

Autor: Gustavson, Fred G., Wasniewski, Jerzy, Dongarra, Jack J., Langou, Julien

We describe a new data format for storing triangular, symmetric, and Hermitian matrices called RFPF (Rectangular Full Packed Format). The standard two dimensional arrays of Fortran and C (also known as full format) that are used to represent triangul

Externí odkaz: http://arxiv.org/abs/0901.1696

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Akademický článek

Recursive Blocked Algorithms and Hybrid Data Structures for Dense Matrix Library Software

Autor: Elmroth, Erik, Gustavson, Fred, Jonsson, Isak, Kågström, Bo

Publikováno v: SIAM Review, 2004 Mar 01. 46(1), 3-45.

Externí odkaz: https://www.jstor.org/stable/20453467

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Akademický článek

Some Results on Sparse Matrices

Autor: Brayton, Robert K., Gustavson, Fred G., Willoughby, Ralph A.

Publikováno v: Mathematics of Computation, 1970 Oct 01. 24(112), 937-954.

Externí odkaz: https://www.jstor.org/stable/2004627

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Akademický článek

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Gauss’s, Cholesky’s and Banachiewicz’s Contributions to Least Squares

Autor: Gustavson, Fred G., Wasniewski, Jerzy

Publikováno v: Gustavson, F G & Wasniewski, J 2011, Gauss’s, Cholesky’s and Banachiewicz’s Contributions to Least Squares . IMM-Technical Report-2011, no. 16, Technical University of Denmark, Kgs. Lyngby, Denmark .

This paper describes historically Gauss’s contributions to the area of Least Squares. Also mentioned are Cholesky’s and Banachiewicz’s contributions to linear algebra. The material given is backup information to a Tutorial given at PPAM 2011 to

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______1202::1357f292a76cc4a0d3c6a7ad0de7ea83
https://orbit.dtu.dk/en/publications/gausss-choleskys-and-banachiewiczs-contributions-to-least-squares(e3a7fb4f-0802-4b11-8462-5068bc4f183b).html

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Rectangular Full Packed Format for Cholesky's Algorithm: Factorization, Solution and Inversion are already in LAPACK

Autor: Gustavson, Fred G., Wasniewski, Jerzy, Dongarra, Jack J., Langou, Julie

Publikováno v: Gustavson, F G, Wasniewski, J, Dongarra, J J & Langou, J 2009, Rectangular Full Packed Format for Cholesky's Algorithm: Factorization, Solution and Inversion are already in LAPACK . Technical University of Denmark, DTU Informatics, Building 321, Kongens Lyngby .

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______1202::bfb272b7e0b1689f8fd0c7d67bb381f3
http://orbit.dtu.dk/en/publications/rectangular-full-packed-format-for-choleskys-algorithm-factorization-solution-and-inversion-are-already-in-lapack(afcc22c7-1856-48df-8af2-81dc36a65bea).html

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Level-3 Cholesky Kernel Subroutine of a Fully Portable High Performance Minimal Storage Hybrid Format Cholesky Algorithm

Autor: Gustavson, Fred G., Wasniewski, Jerzy, Dongarra, Jack J.

Publikováno v: Gustavson, F G, Wasniewski, J & Dongarra, J J 2008, Level-3 Cholesky Kernel Subroutine of a Fully Portable High Performance Minimal Storage Hybrid Format Cholesky Algorithm . D T U Compute. Technical Report, no. 2008-17, Technical University of Denmark, DTU Informatics, Building 321, Lyngby .

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______1202::39b19e340a152057c0c170ccb14f536e
http://orbit.dtu.dk/en/publications/level3-cholesky-kernel-subroutine-of-a-fully-portable-high-performance-minimal-storage-hybrid-format-cholesky-algorithm(3749b0fb-ef30-45bb-8f1e-09b48f1c1383).html

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Clearer, Simpler and more Efficient LAPACK Routines for Symmetric Positive Definite Band Factorization

Autor: Gustavson, Fred G., Quintania-Orti, Enrique S., Quintana-Orti, Gregorio, Remon, Alfredo, Wasniewski, Jerzy

Publikováno v: Gustavson, F G, Quintania-Orti, E S, Quintana-Orti, G, Remon, A & Wasniewski, J 2008, Clearer, Simpler and more Efficient LAPACK Routines for Symmetric Positive Definite Band Factorization . D T U Compute. Technical Report, no. 2008-19, Technical University of Denmark, DTU Informatics, Building 321, Lyngby .

We describe a minor format change for representing a symmetric band matrix AB using the same array space specified by LAPACK. In LAPACK, band codes operating on the lower part of a symmetric matrix reference matrix element (i, j) as AB1+i−j,j . The

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______1202::a6483a127ffd3da23d34df5911d85a27
http://orbit.dtu.dk/ws/files/6278402/tr08_19.pdf

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