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Lecture 2

  • Eugene E. Tyrtyshnikov

Abstract

Assume that V is a real or complex vector space on which, for any pair of vectors x and y, a number (x,y) is defined so that
$$ (x,x) \geqslant 0 \forall x; (x,x) = 0 \Leftrightarrow x = 0; $$
(1)
$$ (x,y) = \overline {(y,x)} ; $$
(2)
$$ (\alpha x,y) = \alpha (x,y), \alpha is a number; $$
(3)
$$ (x + y,z) = (x,z) + (y,z). $$
(4)

Keywords

Scalar Product Singular Value Decomposition Singular Vector Hermitian Matrix Unitary Matrice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Eugene E. Tyrtyshnikov
    • 1
  1. 1.Institute of Numerical MathematicsRussian Academy of SciencesMoscowRussia

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