On the determinant of general pentadiagonal matrices

被引：5
|
作者：
da Fonseca, Carlos M. [1 ,2 ]
Losonczi, Laszlo [3 ]
机构：
[1] Kuwait Coll Sci & Technol, Block 4,POB 27235, Safat 13133, Kuwait
[2] Univ Primorska Famnit, Glagoljsaska 8, Koper 6000, Slovenia
[3] Univ Debrecen, Fac Econ, Debrecen, Hungary
来源：
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2020年 / 97卷 / 3-4期
关键词：
determinant; pentadiagonal matrices; tridiagonal matrices; EIGENVALUES; ALGORITHM;
D O I：
10.5486/PMD.2020.8870
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider square matrices with two sub-diagonals and two super-diagonals. We provide an algorithm to transform such matrices (by multiplying them with suitable matrices) to tridiagonal matrices. It is known that tridiagonal matrices can be transformed to diagonal ones (again by multiplying them from both sides by suitable matrices). Thus pentadiagonal matrices can be transformed to diagonal ones and in this way their determinants can be calculated. Two examples show how our method works.
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页码：507 / 523
页数：17
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