Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9498320 | Linear Algebra and its Applications | 2005 | 16 Pages |
Abstract
We use the Cayley-Hamilton theorem and the sequence of Horner polynomials associated with a polynomial w(z) to obtain explicit formulas for functions of the form f(tA), where f is defined by a convergent power series and A is a square matrix. We use a well-known explicit formula for the resolvent of A and show that f(tA) is the Hadamard product of f(t) and the function (I â tA)â1, which is easily obtained from the resolvent.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Luis Verde-Star,