Mathematics (Jul 2020)
Characteristic Polynomials and Eigenvalues for Certain Classes of Pentadiagonal Matrices
Abstract
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 formulas for the characteristic polynomial and explicit formulas for their eigenvalues.
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