Stochastic approximation-solvability of linear random equations involving numerical ranges. (1997)

• Record Type: Journal Article
• Authors: Verma, Ram U.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 10:Number 1(1997)
• Page Start: 47
• Page End: 55
• Publication Date: 1997
• Subjects: stochastic projection scheme -- numerical range -- approximation-solvability; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S104895339700004X
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : The random (or stochastic) approximation-solvability, based on a projection scheme, of linear random operator equations involving the theory of the numerical range of a bounded linear random operator is considered. The obtained results generalize results with regard to the deterministic approximation-solvability of linear operator equations using the Galerkin convergence method.