Physics Journal
Articles Information
Physics Journal, Vol.1, No.2, Sep. 2015, Pub. Date: Aug. 7, 2015
The Simultaneous Reduction of Matrices to the Block-Triangular Form
Pages: 54-61 Views: 1873 Downloads: 765
Authors
[01] Yuri N. Bazilevich, Department of Applied Mathematics, Prydniprovsk State Academy of Civil Engineering and Architecture, Dnipropetrovs'k, Ukraine.
Abstract
The solution of the problem of several n×n matrices reduction to the same upper block-triangular form by a similarity transformation with the greatest possible number of blocks on the main diagonal is given. In addition to the well-known "method of commutative matrix" a new "method of invariant subspace" is used.
Keywords
Matrix, Block-Triangular Form, Similarity Transformation, the Centralizer, Algebra over the Field, Radical Ideal
References
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