商品簡介
In a research monograph that can be used as a core or supplemental text in a graduate course, Higham (applied mathematics, U. of Manchester, England) offers what he characterizes as a reasonably complete treatment of the theory of matrix functions, along with numerical methods for computing them, and an overview of applications. He focuses on three equivalent definitions of f(A), based respectively on the Jordan canonical form, polynomial interpolation, and the Cauchy integral formula. Much of the material can be understood with only a basic grounding in numerical analysis and linear algebra, he says, but he is really writing for specialists in numerical analysis and applied linear algebra. Annotation c2008 Book News, Inc., Portland, OR (booknews.com)
作者簡介
Nicholas J. Higham, FRS, is Richardson Professor of Applied Mathematics at The University of Manchester, UK. He is the author of more than 100 publications and of the books Accuracy and Stability of Numerical Algorithms (SIAM, 2nd ed., 2002), Handbook of Writing for the Mathematical Sciences, (SIAM, 2nd ed., 1998), and MATLAB Guide, (with Desmond J. Higham, SIAM, 2nd ed., 2005).