Product integral approximations of solutions to linear operator equations

Martin, Robert H.

doi:10.1090/S0002-9939-1973-0380463-4

Product integral approximations of solutions to linear operator equations
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by Robert H. Martin PDF

Proc. Amer. Math. Soc. 41 (1973), 506-512 Request permission

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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A variation of parameters formula