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Condition numbers and Ritz type methods in unconstrained optimization

Zolezzi T.

Control and Cybernetics

2007

Vol. 36, no 3

811-822

Condition numbers for infinite-dimensional optimization, as defined in Zolezzi (2002, 2003), are shown to exhibit a stable behavior when employing finite-dimensional solution methods of the Ritz type, in particular finite elements. The same behavior is shown to hold in connection with the so called extended Ritz method.