Lecture 2

Eugene E. Tyrtyshnikov
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Eugene E. Tyrtyshnikov: Russian Academy of Sciences, Institute of Numerical Mathematics

A chapter in A Brief Introduction to Numerical Analysis, 1997, pp 11-20 from Springer

Abstract: 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 (1) $$ (x,x) \geqslant 0 \forall x; (x,x) = 0 \Leftrightarrow x = 0; $$ (2) $$ (x,y) = \overline {(y,x)} ; $$ (3) $$ (\alpha x,y) = \alpha (x,y), \alpha is a number; $$ (4) $$ (x + y,z) = (x,z) + (y,z). $$

Keywords: Scalar Product; Singular Value Decomposition; Singular Vector; Hermitian Matrix; Unitary Matrice (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1007/978-0-8176-8136-4_2

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