Lecture 2

  • Eugene E. Tyrtyshnikov


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
$$ (x,x) \geqslant 0 \forall x; (x,x) = 0 \Leftrightarrow x = 0; $$
$$ (x,y) = \overline {(y,x)} ; $$
$$ (\alpha x,y) = \alpha (x,y), \alpha is a number; $$
$$ (x + y,z) = (x,z) + (y,z). $$


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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations