Product integral approximations of solutions to linear operator equations
Author:
Robert H. Martin
Journal:
Proc. Amer. Math. Soc. 41 (1973), 506512
MSC:
Primary 47A50; Secondary 45A05
MathSciNet review:
0380463
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Abstract: In the paper we develop a class of iterative methods for approximating solutions of linear operator equations in a Banach space. The main techniques involve a product integral representation of solutions to linear Stieltjes integral equations, a variation of parameters formula, and the asymptotic convergence of solutions to the homogeneous integral equation.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939197303804634
PII:
S 00029939(1973)03804634
Keywords:
Linear operator equations,
product integral,
Stieltjes integral equation,
asymptotic convergence
Article copyright:
© Copyright 1973
American Mathematical Society
