V. A. Morozov, “Seminormed factor spaces and the theory of splines”, Num. Meth. Prog., 2003, Volume 4, Issue 1,Pages <nobr>172

Seminormed factor spaces and the theory of splines

V. A. Morozov

Lomonosov Moscow State University, Research Computing Center

Abstract: Tikhonov's theory of normal solutions is related to the method of factor spaces widely used in modern mathematics of computations. The theory of splines is developed for Hilbertian spaces as well as for some classes of normed spaces. The work was supported by the Russian Foundation for Basic Research (01-01-0398).

Keywords: normal solutions, regularization method, normed spaces, numerical methods.

UDC: 519.2:541.1