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2013.27: Functions of Matrices

2013.27: Nicholas J. Higham (2014) Functions of Matrices. In: Leslie Hogben, (eds). 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 2000 > 15 Linear and multilinear algebra; matrix theory
MSC 2000 > 65 Numerical analysis
MIMS number:2013.27
Deposited By:Nick Higham
Deposited On:03 March 2014

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