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 ...

We present a conjectural formula for the principal minors and the characteristic polynomial of Gross’s regulator matrix associated to a totally odd character of a totally real field. The formula is ...

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 ...

Consider the problem of whether V λ i and W λ i are equal under the condition that the characteristic polynomial of A has the same eigenvalue as the minimum polynomial (see Theorem 1, 2). This article ...

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 ...