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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2016 Volume 56, Number 8, Pages 1385–1394 (Mi zvmmf10445)

Algorithm for computing the covering constant of a linear operator on a cone

S. E. Zhukovskiy, Z. T. Zhukovskaya

RUDN University, Moscow, Russia

Abstract: An algorithm for computing the covering constant for the restriction of a linear operator to a cone defined by a finite set of inequalities is proposed. After a finite number of steps, the algorithm reduces the original problem to one of finding the eigenvalues of linear operators.

Key words: covering constant of a linear operator, linear inequalities in metric space, computational algorithm.

UDC: 519.642.8

Received: 26.05.2014
Revised: 29.12.2015

DOI: 10.7868/S0044466916080160


 English version:
Computational Mathematics and Mathematical Physics, 2016, 56:8, 1373–1381

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© Steklov Math. Inst. of RAS, 2024