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

Zh. Vychisl. Mat. Mat. Fiz., 2018 Volume 58, Number 4, Pages 636–644 (Mi zvmmf10726)

Modification of Rissanen’s method in linear memory

I. V. Timokhin

Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia

Abstract: The problem of solving a linear system with a Hankel or block-Hankel matrix, as well as Rissanen’s algorithm and its generalization to the block case, are considered. Modifications of these algorithms that use less memory ($O(n)$ against $O(n^2)$).

Key words: Hankel matrices, finite fields, block matrices, Rissanen's algorithm.

UDC: 519.72

Received: 13.02.2017
Revised: 27.06.2017

DOI: 10.7868/S0044466918040142


 English version:
Computational Mathematics and Mathematical Physics, 2018, 58:4, 621–630

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© Steklov Math. Inst. of RAS, 2025