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Stochastic approximation-solvability of linear random equations involving numerical ranges

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  • Ram U. Verma

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.

Suggested Citation

  • Ram U. Verma, 1997. "Stochastic approximation-solvability of linear random equations involving numerical ranges," International Journal of Stochastic Analysis, Hindawi, vol. 10, pages 1-9, January.
    • Handle: RePEc:hin:jnijsa:176482
    DOI: 10.1155/S104895339700004X
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    Cited by:

    1. Dang Hung Thang & Nguyen Thinh & Tran Xuan Quy, 2014. "Generalized Random Spectral Measures," Journal of Theoretical Probability, Springer, vol. 27(2), pages 576-600, June.

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