An Algorithm to Calculate the Inverse Matrix if an Infinite Matrix

被引：0
|
作者：
Finta, Bela [1 ]
机构：
[1] Petru Maior Univ Targu Mures, N Iorga St 1, Targu Mures 540088, Romania
来源：
12TH INTERNATIONAL CONFERENCE INTERDISCIPLINARITY IN ENGINEERING (INTER-ENG 2018) | 2019年 / 32卷
关键词：
Infinite matrix; operations with infinite matrices; LU matrix factorization; infinite lower triangular matrix; infinite upper triangular matrix;
D O I：
10.1016/j.promfg.2019.02.265
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The purpose of this paper is to give an algorithm to calculate the left inverse matrix of an infinite matrix using the extension to infinite matrices of the LU matrix factorization. We give an example for the numerical solution of the heat equation. (C) 2019 The Authors. Published by Elsevier Ltd.
引用
收藏
页码：643 / 646
页数：4
相关论文
共 50 条
  • [1] An Algorithm to Calculate Tthe Inverse Matrix of a Symmetric and Positive Definite Infinite Matrix
    Finta, Bela
    13TH INTERNATIONAL CONFERENCE INTERDISCIPLINARITY IN ENGINEERING (INTER-ENG 2019), 2020, 46 : 533 - 538
  • [2] DRAZIN INVERSE OF AN INFINITE MATRIX
    CAMPBELL, SL
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1976, 31 (03) : 492 - 503
  • [3] Sequence spaces and inverse of an infinite matrix
    de Malafosse B.
    Malkowsky E.
    Rendiconti del Circolo Matematico di Palermo, 2002, 51 (2) : 277 - 294
  • [4] Algorithm to calculate the optimum matrix in TV cameras
    Martín-Martín, P.
    Martín-Marcos, A.
    Cruz-Roldán, F.
    López-Ferreras, F.
    Informacion Tecnologica, 2002, 13 (01): : 121 - 126
  • [5] A Computational Algorithm for the Inverse of a Sevendiagonal Matrix
    Lin, Yanling
    Lin, Xiaolin
    PROCEEDINGS OF 2016 INTERNATIONAL CONFERENCE ON MODELING, SIMULATION AND OPTIMIZATION TECHNOLOGIES AND APPLICATIONS (MSOTA2016), 2016, 58 : 298 - 302
  • [6] The inverse of a semi-infinite symmetric banded matrix
    Lavis, DA
    Southern, BW
    Wilde, IF
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (20): : 7229 - 7241
  • [7] Moore-Penrose inverse of an invertible infinite matrix
    Sivakumar, KC
    LINEAR & MULTILINEAR ALGEBRA, 2006, 54 (01): : 71 - 77
  • [8] A fast GPU algorithm for the inverse of a circulant matrix
    Zheng, Zuoyong
    Zhang, Ruixia
    FRONTIERS OF MANUFACTURING AND DESIGN SCIENCE II, PTS 1-6, 2012, 121-126 : 3755 - 3759
  • [9] A recursive algorithm for computing the inverse of the Vandermonde matrix
    Ghassabeh, Youness Aliyari
    COGENT ENGINEERING, 2016, 3 (01):
  • [10] THE INVERSE OF A TOTALLY POSITIVE BI-INFINITE BAND MATRIX
    DEBOOR, C
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 274 (01) : 45 - 58
12345