Splitting a linear system of operator equations with constant coefficients: A matrix polynomial approach | Zendy

Nikta Shayanfar | Zendy; M. Hadizadeh | Zendy

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Splitting a linear system of operator equations with constant coefficients: A matrix polynomial approach

Author(s) -

Nikta Shayanfar,

M. Hadizadeh

Publication year - 2013

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1308447s

Subject(s) - mathematics , coefficient matrix , constant coefficients , operator (biology) , polynomial matrix , constant (computer programming) , matrix (chemical analysis) , polynomial , matrix polynomial , system of linear equations , mathematical analysis , linear equation , canonical form , key (lock) , algebra over a field , pure mathematics , eigenvalues and eigenvectors , materials science , repressor , ecology , chemistry , computer science , composite material , biology , biochemistry , quantum mechanics , transcription factor , programming language , physics , gene

In this paper, we develop an efficient reduction technique that leads us to study particular classes of linear non-homogenous system of operator equations with constant coefficients. The key concept is assigning a matrix polynomial to the system, and its Smith canonical form provide a reduced system of independent equations. As a consequence of independent structure, each equation of the reduced system contains one unknown.

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