On the inverse eigenvalue problem for a special kind of acyclic matrices

Heydari, M. H.; Fazeli, Seyed Abolfazl Shahzadeh; Karbassi, S. M.

doi:10.21136/am.2019.0242-18

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2019

2024

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Cited by 7 publications

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“…The foundation of his method is Doolittle LU factorization. Heydari et al (2019) studied the inverse eigenvalues of symmetric acyclic matrices with generalized star graphs. Wei et al (2019) present explicit formulas for the determinants and inverses of periodic tridiagonal Toeplitz matrices with perturbed corners.…”

Section: Introductionmentioning

confidence: 99%

Tridiagonal Interval Matrix: Exploring New Perspectives and Application

Thirupathi,

Thamaraiselvan

2024

Sci. Technol. Indones

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Tridiagonal interval matrices are relevant in diverse applications, especially in dealing with parameter estimation, optimization and circuit analysis uncertainties. This research paper aims to improve the computational efficiency of obtaining the inverse of a general tridiagonal interval matrix. This matrix is pivotal in electric circuit analysis. We achieve this by employing interval arithmetic operations in the LU decomposition process, enabling effective handling of circuit parameter uncertainties. This approach generates an inverse interval matrix that addresses uncertainties in circuit analyses.

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Section: Introductionmentioning

confidence: 99%