scholarly journals Minimal and characteristic polynomials of symmetric matrices in characteristic two

2021 ◽  
Author(s):  
Grégory Berhuy
Keyword(s):  
Symmetric Matrices ◽  
Characteristic Polynomials ◽  
Characteristic Two

scholarly journals Characteristic Polynomials and Eigenvalues for Certain Classes of Pentadiagonal Matrices

Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1056
Author(s):  
María Alejandra Alvarez ◽  
André Ebling Brondani ◽  
Francisca Andrea Macedo França ◽  
Luis A. Medina C.
Keyword(s):  
Characteristic Polynomial ◽  
Diagonal Matrix ◽  
Symmetric Matrices ◽  
Characteristic Polynomials ◽  
Explicit Formulas ◽  
Recursive Formulas

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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