Vector and Matrix Norms

Larisa Beilina (), Evgenii Karchevskii and Mikhail Karchevskii
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Larisa Beilina: Chalmers University of Technology and University of Gothenburg, Department of Mathematical Sciences
Evgenii Karchevskii: Kazan Federal University, Department of Applied Mathematics
Mikhail Karchevskii: Kazan Federal University, Department of Computational Mathematics

Chapter Chapter 6 in Numerical Linear Algebra: Theory and Applications, 2017, pp 209-229 from Springer

Abstract: Abstract In this chapter the concept of a norm on the vector space $${\mathbb {C}}^n$$ is introduced. We investigate relationships between different norms. We give the definition of a norm on the space of complex rectangular matrices and study its properties in detail, particularly with regard to estimates of eigenvalues and singular values of operators.

Date: 2017
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DOI: 10.1007/978-3-319-57304-5_6

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