Computation on GPU of Eigenvalues and Eigenvectors of a Large Number of Small Hermitian Matrices

被引：12

作者：

Cosnuau, Alain ^{[1
]}

机构：

[1] Off Natl Etud & Rech Aerosp, DTIM Modeling & Informat Proc, F-91123 Palaiseau, France

来源：

2014 INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE | 2014年 / 29卷

关键词：

Eigenvalues; Eigenvectors; Many Small Hermitian Matrices; QR; Householder; Parallel; GPU;

D O I：

10.1016/j.procs.2014.05.072

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper presents an implementation on Graphics Processing Units of QR-Householder algorithm used to find all the eigenvalues and eigenvectors of many small hermitian matrices (double precision) in a very short time to address time constraints for Radar issues.

引用

页码：800 / 810

页数：11

共 50 条

[21] Large deviations for the largest eigenvalues and eigenvectors of spiked Gaussian random matrices
Biroli, Giulio
Guionnet, Alice
[J]. ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2020, 25 : 1 - 13
[22] PROPERTIES OF EIGENVALUES AND EIGENVECTORS OF LARGE-DIMENSIONAL SAMPLE CORRELATION MATRICES
Yin, Yanqing
Ma, Yanyuan
[J]. ANNALS OF APPLIED PROBABILITY, 2022, 32 (06): : 4763 - 4802
[23] POWEV - A SUBROUTINE PACKAGE TO EVALUATE EIGENVALUES AND EIGENVECTORS OF LARGE SPARSE MATRICES
SCIUTTO, SJ
[J]. COMPUTER PHYSICS COMMUNICATIONS, 1993, 77 (01) : 95 - 106
[24] The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices
Benaych-Georges, Florent
Nadakuditi, Raj Rao
[J]. ADVANCES IN MATHEMATICS, 2011, 227 (01) : 494 - 521
[25] IMPROVED ALGORITHMS FOR THE LOWEST FEW EIGENVALUES AND ASSOCIATED EIGENVECTORS OF LARGE MATRICES
MURRAY, CW
RACINE, SC
DAVIDSON, ER
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 103 (02) : 382 - 389
[26] IMPROVING BOUNDS OF EIGENVALUES AND EIGENVECTORS OF MATRICES
KRAWCZYK, R
[J]. COMPUTING, 1970, 5 (03) : 200 - &
[27] ITERATIVE COMPUTATION OF DERIVATIVES OF EIGENVALUES AND EIGENVECTORS
ANDREW, AL
[J]. JOURNAL OF THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS, 1979, 24 (02): : 209 - 218
[28] EIGENVALUES AND EIGENVECTORS OF SYMMETRIC CENTROSYMMETRIC MATRICES
CANTONI, A
BUTLER, P
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1976, 13 (03) : 275 - 288
[29] COMPUTATION OF EIGENVALUES AND EIGENVECTORS OF A SYMMETRIC MATRIX
GAMBA, A
[J]. AMERICAN JOURNAL OF PHYSICS, 1981, 49 (02) : 187 - 187
[30] Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices
Dai, Hui
Geary, Zachary
Kadanoff, Leo P.
[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2009,

← 1 2 3 4 5 →