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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1970 Volume 34, Issue 4, Pages 803–826 (Mi im2448)

This article is cited in 1 paper

Stability of the Schmidt orthogonalization operator

A. M. Olevskii


Abstract: In this article we prove the existence of points of local instability of the Schmidt orthogonalization operator and classify them. We establish the quadratic stability of this operator in a neighborhood of a fixed point.

UDC: 517.5

MSC: 47A55

Received: 31.10.1969


 English version:
Mathematics of the USSR-Izvestiya, 1970, 4:4, 811–834

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