Elements of Perturbation Theory

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 7 in Numerical Linear Algebra: Theory and Applications, 2017, pp 231-248 from Springer

Abstract: Abstract In this chapter we study the influence of perturbations of matrices on the solutions of such basic problems of linear algebra as calculating eigenvalues and singular values of operators, constructing the inverse matrix, solving systems of linear algebraic equations, and solving the linear least squares problem.

Keywords: Linear Least; Gershgorin Disc Theorem; Bauer-Fike Theorem; Relative Perturbation; Consistent Matrix Norm (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-57304-5_7

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DOI: 10.1007/978-3-319-57304-5_7

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