Functions of Matrices

Higham, Nicholas J. (2014) Functions of Matrices. In: Handbook of Linear Algebra. CRC Press, Boca Raton, Florida, USA, 17.1-17.5. ISBN 978-1-4665-0728-9

Warning
There is a more recent version of this item available.
[thumbnail of C5106_C011_may13.pdf] PDF
C5106_C011_may13.pdf

Download (253kB)

Abstract

Matrix functions are used in many areas of linear algebra and arise in numerous applications in science and engineering. The most common matrix function is the matrix inverse; it is not treated specifically in this chapter, but is covered in Section~1.5 and Section~51.3. This chapter is concerned with general matrix functions as well as specific cases such as matrix square roots, trigonometric functions, and the exponential and logarithmic functions.

Item Type: Book Section
Uncontrolled Keywords: matrix function
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 15 Linear and multilinear algebra; matrix theory
MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis
Depositing User: Nick Higham
Date Deposited: 08 Feb 2014
Last Modified: 20 Oct 2017 14:13
URI: https://eprints.maths.manchester.ac.uk/id/eprint/1983

Available Versions of this Item

Actions (login required)

View Item View Item