Abstract
Chapter 5 is devoted to numerical aspects of developed theory of generalized solvability. In Sect. 5.2–5.6 we discuss conceptual aspects of reliability and effectiveness of precise and iterative method for solving system of linear algebraic equations obtained as a result of finite-dimensional approximation of initial operator equations. In Sect. 5.7 we prove the criteria of classic solvability of linear operator equations in Banach and Hilbert spaces associated with the Neumann series.
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Klyushin, D.A., Lyashko, S.I., Nomirovskii, D.A., Petunin, Y.I., Semenov, V.V. (2012). Computation of Near-Solutions of Operator Equations. In: Generalized Solutions of Operator Equations and Extreme Elements. Springer Optimization and Its Applications(), vol 55. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0619-8_5
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DOI: https://doi.org/10.1007/978-1-4614-0619-8_5
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