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

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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

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