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Elements of Perturbation Theory

  • Larisa BeilinaEmail author
  • Evgenii Karchevskii
  • Mikhail Karchevskii
Chapter

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.

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Larisa Beilina
    • 1
    Email author
  • Evgenii Karchevskii
    • 2
  • Mikhail Karchevskii
    • 3
  1. 1.Department of Mathematical SciencesChalmers University of Technology and University of GothenburgGothenburgSweden
  2. 2.Department of Applied MathematicsKazan Federal UniversityKazan, Tatarstan RepublicRussia
  3. 3.Department of Computational MathematicsKazan Federal UniversityKazan, Tatarstan RepublicRussia

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