Similarity to totally positive matrices and accurate computations

被引：0
|
作者：
Barreras, A. [1 ]
Pena, J. M. [2 ]
机构：
[1] Ctr Univ Def, Zaragoza, Spain
[2] Univ Zaragoza, Dept Appl Math IUMA, E-50009 Zaragoza, Spain
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2016年 / 491卷
关键词：
Totally positive matrices; Matrix decomposition; High relative accuracy; DECOMPOSITIONS;
D O I：
10.1016/j.laa.2015.09.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Matrices similar to nonsingular totally positive matrices are analyzed. In the particular case of SBD matrices, new characterizations are presented. For more general classes of matrices, methods to assure accurate computations are analyzed. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：317 / 327
页数：11
相关论文
共 50 条
  • [1] ACCURATE COMPUTATIONS WITH TOTALLY POSITIVE BERNSTEIN-VANDERMONDE MATRICES
    Marco, Ana
    Martinez, Jose-Javier
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2013, 26 : 357 - 380
  • [2] Accurate computations of matrices with bidiagonal decomposition using methods for totally positive matrices
    Barreras, A.
    Pena, J. M.
    NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2013, 20 (03) : 413 - 424
  • [3] Accurate computations with totally nonnegative matrices
    Koev, Plamen
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2007, 29 (03) : 731 - 751
  • [4] 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
  • [5] Totally positive matrices and totally positive hypergraphs
    Kubicki, G
    Lehel, J
    Morayne, M
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2001, 331 (1-3) : 193 - 202
  • [6] TOTALLY POSITIVE MATRICES
    ANDO, T
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1987, 90 : 165 - 219
  • [7] Accurate and fast computations with positive extended Schoenmakers-Coffey matrices
    Delgado, Jorge
    Pena, Guillermo
    Manuel Pena, Juan
    NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2016, 23 (06) : 1023 - 1031
  • [8] Accurate computations with Wronskian matrices
    Mainar, E.
    Pena, J. M.
    Rubio, B.
    CALCOLO, 2021, 58 (01)
  • [9] Accurate computations with Laguerre matrices
    Delgado, Jorge
    Orera, Hector
    Manuel Pena, Juan
    NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2019, 26 (01)
  • [10] Accurate computations with Wronskian matrices
    E. Mainar
    J. M. Peña
    B. Rubio
    Calcolo, 2021, 58
12345