A connection between Padé approximants and characteristic polynomial of a matrix with complex, in general, elements is established. A system of homogeneous, first-order ordinary differential equations ...

In this note, the compuation of the characteristic polynomial of a square matrix is reviewed. A new method of its computation is then suggested. The suggested method has potential application in the ...

The simplicity of Cayley-Hamilton matrix inverse depends on being able to compute the coefficients of the characteristic polynomial. This is another very deep math topic but fortunately one that can ...

Skip Garibaldi, The Characteristic Polynomial and Determinant Are Not Ad Hoc Constructions, The American Mathematical Monthly, Vol. 111, No. 9 (Nov., 2004), pp. 761-778 ...

Abstract A code developed recently by the authors, for counting and computing the eigenvalues of a complex tridiagonal matrix, as well as the roots of a complex polynomial, which lie in a given region ...

Key words and phrases: Characteristic polynomials, Central simple algebras, Rational canonical forms, Conjugacy classes. The Taiwanese Journal of Mathematics, published by the Mathematical Society of ...

Discover new bounds for polynomial roots using submultiplicative companion matrix norms. Introducing sparse and triangular Hessenberg matrices for accurate estimations. Compare bounds to Cauchy's, ...