RESULTS OF EXISTENCE OF SOLUTIONS FOR SOME VARIATIONAL CONTROL INEQUALITIES


S. Treanță, A. Petrescu-Niță

 Abstract:  We consider di erent algorithms with linear rate of convergence for computing the minimal nonnegative solution of M-matrix algebraic Riccati equation. The performance of the considered algorithms are illustrated on numerical examples.

MSC: 15A24, 65F45.

keywords: M-matrix, iterative methods, algorithm, convergence rate, nonnegative solution.

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DOI   10.56082/annalsarscimath.2023.1-2.217

savin.treanta@upb.ro (1) Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania; (2) Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania; (3) Fundamental Sciences Applied in Engineering- Research Center (SFAI), University Politehnica of Bucharest, 060042 Bucharest, Romania;

nita alina@yahoo.com (1) Department of Mathematical Methods and Models, University Politehnica of Bucharest, 060042 Bucharest, Romania; (2) Fundamental Sciences Applied in Engineering- Research Center (SFAI), University Politehnica of Bucharest, 060042 Bucharest, Romania;


PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its ApplicationVolume 15 no 1-2, 2023