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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2019 Volume 482, Pages 272–287 (Mi znsl6832)

This article is cited in 3 papers

Computation of a minimal basis of the right null space of a singular multiparameter polynomial matrix

V. B. Khazanov

State Marine Technical University of St. Petersburg

Abstract: A modification of an algorithm, based on the resultant approach, for computing a minimal basis of the right null space of a singular multiparameter polynomial matrix is suggested. The modification suggested is based on simultaneous computation of bases of the image and kernel of a constant matrix and allows one to reduce computational costs. This modification also permits one to compute a basis of the image of a polynomial matrix. The implementation of the algorithm is illustrated on an example.

Key words and phrases: singular multiparameter polynomial matrix, null space, polynomial solution, resultant approach.

UDC: 519

Received: 20.02.2019



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