On computing of arbitrary positive integer powers for one type of symmetric pentadiagonal matrices of odd order

被引：8

作者：

Rimas, Jonas ^{[1
]}

机构：

[1] Kaunas Univ Technol, Fac Fundamental Sci, Dept Appl Math, LT-51368 Kaunas, Lithuania

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 204卷 / 01期

关键词：

pentadiagonal matrices; eigenvalues; eigenvectors; Chebyshev polynomials;

D O I：

10.1016/j.amc.2008.06.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：120 / 129

页数：10

共 46 条

[31] On computing of arbitrary positive integer powers of odd order anti-tridiagonal matrices with zeros in main skew diagonal and elements 1,1,1, ...,1;-1,-1,-1, ... ,-1 in neighbouring diagonals
Rimas, Jonas
APPLIED MATHEMATICS AND COMPUTATION, 2009, 210 (01) : 64 - 71
[32] Positive integer powers of certain complex tridiagonal matrices
Oteles, Ahmet
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APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (21) : 10448 - 10455
[33] On computing of arbitrary positive integer powers for tridiagonal matrices with elements 1, 0, 0, ... 0, 1 in principal and 1, 1, 1, ... 1 in neighbouring diagonals - II
Rimas, Jonas
APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (02) : 1472 - 1475
[34] A FORMULA FOR COMPUTING INTEGER POWERS FOR ONE TYPE OF TRIDIAGONAL MATRIX
Kiyak, H.
Gurses, I.
Yilmaz, F.
Bozkurt, D.
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2010, 39 (03): : 351 - 363
[35] COMPUTING INTEGER POWERS FOR A CERTAIN FAMILY OF SKEW CIRCULANT MATRICES
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TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2020, 10 (03): : 583 - 593
[36] On computing of arbitrary positive integer powers for tridiagonal matrices with elements 1,0,0, ... 0, 1 in principal and 1, 1, 1,..., 1 in neighbouring diagonals - I
Rimas, Jonas
APPLIED MATHEMATICS AND COMPUTATION, 2007, 186 (02) : 1254 - 1257
[37] On computing of arbitrary positive integer powers for tridiagonal matrices with elements-1,0,0, ..., 0 in principal and 1,1,1, ..., 1 in neighbouring diagonals - I
Rimas, Jonas
APPLIED MATHEMATICS AND COMPUTATION, 2007, 193 (01) : 253 - 256
[38] On computing of arbitrary positive integer powers for tridiagonal matrices with elements-1,0,0,...,0,1 in principal and 1,1,1,...,1 in neighbouring diagonals - II
Rimas, Jonas
APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (02) : 2020 - 2024
[39] On computing of arbitrary positive integer powers for tridiagonal matrices with elements -1,0,0,...,0,1 in principal and 1,1,1,...,1 in neighbouring diagonals - I
Rimas, Jonas
APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) : 634 - 637
[40] Positive Integer Powers of the Kronecker Sum of Two Tridiagonal Toeplitz Matrices
Mezzar, Y.
Belghaba, K.
AZERBAIJAN JOURNAL OF MATHEMATICS, 2024, 14 (02): : 46 - 53

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