Accurate and fast computations with Green matrices✩

被引：5

作者：

Delgado, Jorge ^{[1
]}

Pena, Guillermo ^{[2
]}

Pena, Juan Manuel ^{[3
]}

机构：

[1] Univ Zaragoza, Dept Appl Math, Zaragoza 50018, Spain

[2] Univ Zaragoza, Dept Econ Anal, Zaragoza 50005, Spain

[3] Univ Zaragoza, Dept Appl Math, Zaragoza 50009, Spain

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 145卷

关键词：

Accurate computations; Green matrix;

D O I：

10.1016/j.aml.2023.108778

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper provides a linear time complexity method to obtain the bidiagonal decomposition of Green matrices with high relative accuracy. In addition, when the Green matrix is nonsingular and totally positive, this bidiagonal decomposition can be used to compute the eigenvalues, the inverse and the solution of some linear system of equations with high relative accuracy. A numerical example illustrates the advantages of this method. & COPY; 2023 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

引用

页数：5

共 50 条

[41] Accurate computations for eigenvalues of products of Cauchy-polynomial-Vandermonde matrices
Zhao Yang
Rong Huang
Wei Zhu
Numerical Algorithms, 2020, 85 : 329 - 351
[42] Perturbation theory for the LDU factorization and accurate computations for diagonally dominant matrices
Froilán M. Dopico
Plamen Koev
Numerische Mathematik, 2011, 119 : 337 - 371
[43] Zhang Neural Networks for fast and accurate computations of the field of values
Uhlig, Frank
LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (09): : 1894 - 1910
[44] Windowing of the Discrete Green's Function for Accurate FDTD Computations
Stefanski, T. P.
PIERS 2013 STOCKHOLM: PROGRESS IN ELECTROMAGNETICS RESEARCH SYMPOSIUM, 2013, : 155 - 159
[45] Fast and Accurate Geometric Sound Propagation Using Visibility Computations
Chandak, Anish
Antani, Lakulish
Taylor, Micah
Manocha, Dinesh
BUILDING ACOUSTICS, 2011, 18 (1-2) : 123 - 144
[46] Fast and accurate determination of the Wigner rotation matrices in the fast multipole method
Dachsel, H
JOURNAL OF CHEMICAL PHYSICS, 2006, 124 (14):
[47] Fast and accurate algorithms for Jacobi-Stirling matrices
Delgado, Jorge
Manuel Pena, Juan
APPLIED MATHEMATICS AND COMPUTATION, 2014, 236 : 253 - 259
[48] Total positivity and accurate computations with Gram matrices of Said-Ball bases
Mainar, E.
Pena, J. M.
Rubio, B.
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2023, 30 (06)
[49] ACCURATE COMPUTATIONS WITH TOTALLY POSITIVE MATRICES APPLIED TO THE COMPUTATION OF GAUSSIAN QUADRATURE FORMULAE
Marco, Ana
Martinez, Jose-Javier
Viana, Raquel
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2022, 38 : 777 - 791
[50] Fast and accurate CMB computations in non-flat FLRW universes
Lesgourgues, Julien
Tram, Thomas
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2014, (09):

← 1 2 3 4 5 →