Inverting a k-heptadiagonal matrix based on Doolitle LU factorization

Solary, Maryam Shams; Rasouli, Milad

doi:10.1007/s11766-022-3763-8

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2023

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Cited by 2 publications

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“…Wei Y et al [24] presented explicit formulae for determinants, inverses and eigenpairs of a periodic tridiagonal Toeplitz-like matrix with asymmetrically perturbed rows. Solary et al [19] showed a symbolic algorithm for inverting a general k-heptadiagonal matrix and recursive relationships. This work is based on the LU factorization of the matrix.…”

Section: Introductionmentioning

confidence: 99%

Symbolic Algorithm for Inverting General k-Tridiagonal Interval Matrices

Thirupathi

Thamaraiselvan²

2023

Int. J. Anal. Appl.

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The k-tridiagonal matrices have received much attention in recent years. Many different algorithms have been proposed to improve the efficiency of k-tridiagonal matrix estimation. A novel method based on interval analysis has been identified to improve the efficiency of the calculation. This paper presents efficient and reliable computational algorithms for determining the determinant and inverse of general k-tridiagonal interval matrices built on generalized interval arithmetic. This study is based on the Doolittle LU factorization of the interval matrix. Finally, examples are presented to illustrate the algorithms.

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Section: Introductionmentioning

confidence: 99%