Norms of Matrices

Arindama Singh ()
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Arindama Singh: Indian Institute of Technology Madras, Department of Mathematics

Chapter Chapter 7 in Introduction to Matrix Theory, 2021, pp 157-187 from Springer

Abstract: Abstract Like the length of a vector a non-negative real number, called the norm, can be associated with a matrix. Unlike plane vectors, there are many ways a matrix norm can be defined. Using such norms various results such as the contraction maps, iterative solutions of linear systems and the impact of condition numbers on the quality of an approximate solution are explored. Further applications of this notion lead to the definition of matrix exponential and estimation of eigenvalues.

Date: 2021
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DOI: 10.1007/978-3-030-80481-7_7

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