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pro vyhledávání: '"Gustavson, Fred G."'
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
Publikováno v:
Mathematics of Computation, 1970 Oct 01. 24(112), 937-954.
Externí odkaz:
https://www.jstor.org/stable/2004627
Akademický článek
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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
https://orbit.dtu.dk/en/publications/gausss-choleskys-and-banachiewiczs-contributions-to-least-squares(e3a7fb4f-0802-4b11-8462-5068bc4f183b).html
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
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
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
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
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
http://orbit.dtu.dk/ws/files/6278402/tr08_19.pdf
Publikováno v:
Gustavson, F G, Wasniewski, J & Dongarra, J J 2008, Rectangular Full Packed Format for Cholesky's Algorithm : Factorization, Solution and Inversion . D T U Compute. Technical Report, no. 2008-03, Technical University of Denmark, DTU Informatics, Building 321, Lyngby .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______1202::9debe2fcaa1da9fadf8facdf0ab89b17
http://orbit.dtu.dk/en/publications/rectangular-full-packed-format-for-choleskys-algorithm(e326c6ea-90d8-41cf-8a79-91640cca6f50).html
http://orbit.dtu.dk/en/publications/rectangular-full-packed-format-for-choleskys-algorithm(e326c6ea-90d8-41cf-8a79-91640cca6f50).html
Autor:
Gustavson, Fred G., Wasniewski, Jerzy
Publikováno v:
Gustavson, F G & Wasniewski, J 2007, Rectangular full packed format for LAPACK algorithms timings on several computers . Informatics and Mathematical Modelling, Technical University of Denmark, DTU .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______1202::043bc0972e2a8009261bde553d156a4e
https://orbit.dtu.dk/en/publications/9242305e-cd0e-4fe0-8d30-9e39c46c86c1
https://orbit.dtu.dk/en/publications/9242305e-cd0e-4fe0-8d30-9e39c46c86c1
Publikováno v:
Andersen, B S, Gunnels, J A, Gustavson, F G, Reid, J K & Wasniewski, J 2004, A Fully Portable High Performance Minimal Storage Hybrid Format Cholesky Algorithm .
We consider the eficient implementation of the Cholesky solution of symmetric positive-definite dense linear systems of equations using packed storage. We take the same starting point as that of LINPACK and LAPACK, with the upper (or lower) triangula
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______1202::915483f93affa8ed7d65d4a6721a79df
http://orbit.dtu.dk/ws/files/5875386/imm3173.pdf
http://orbit.dtu.dk/ws/files/5875386/imm3173.pdf