Abstract
Many matrix problems are solved by writing a given matrix as a product of factors with special properties. The possibility of a factoring is a mathematical result, but usually one also needs to find the factors explicitly. A good algorithm for doing so is one that minimizes the calculation required, and introduces as little rounding error as possible. This chapter presents four factoring theorems that are important for applications, with suggestions for carrying out the factoring. It is intended to be an introduction to a course in Numerical Analysis.
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© 1994 Henry Helson
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Helson, H. (1994). Matrix Factorings. In: Linear Algebra. Texts and Readings in Mathematics, vol 4. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-981-10-4487-8_6
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DOI: https://doi.org/10.1007/978-981-10-4487-8_6
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-81-85931-04-3
Online ISBN: 978-981-10-4487-8
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