Characteristic Polynomials and Eigenvalues for Certain Classes of Pentadiagonal Matrices

Characteristic Polynomials and Eigenvalues for Certain Classes of Pentadiagonal Matrices

There exist pentadiagonal matrices which are diagonally similar to symmetric matrices. In this work we describe explicitly the diagonal matrix that gives this transformation for certain pentadiagonal matrices. We also consider particular classes of pentadiagonal matrices and obtain recursive formula...

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Bibliographic Details
Main Authors: María Alejandra Alvarez, André Ebling Brondani, Francisca Andrea Macedo França, Luis A. Medina C.
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Mathematics
Subjects:
pentadiagonal matrix
symmetric pentadiagonal matrix
eigenvalue
characteristic polynomial
Online Access:https://www.mdpi.com/2227-7390/8/7/1056

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