Product integral approximations of solutions to linear operator equations
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- by Robert H. Martin
- Proc. Amer. Math. Soc. 41 (1973), 506-512
- DOI: https://doi.org/10.1090/S0002-9939-1973-0380463-4
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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.References
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Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 41 (1973), 506-512
- MSC: Primary 47A50; Secondary 45A05
- DOI: https://doi.org/10.1090/S0002-9939-1973-0380463-4
- MathSciNet review: 0380463