Analog of the secant method for Banach spaces

V. A. Ogneva, V. M. Chern'yshenko

Dnepropetrovsk State University

Abstract: An analog of the secant method using successive approximations for an inverse operator is studied. This is a second-order method. The Newton–Kantorovich method of obtaining successive approximations for an inverse operator is a special case of the method discussed here.

UDC: 518

Received: 22.08.1969

 English version: Mathematical Notes, 1970, 8:4, 742–745

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