Modified Gauss Diagonalization of Polynomial Matrices

机译：多项式矩阵的修正高斯对角化

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The Gauss algorithm for diagonalization of constant matrices is modified for application to polynomial matrices. Due to this modification the diagonal elements become pure polynomials rather than rational functions. (Atomindex citation 14:756501)

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作者
Saeed, K.;
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年度 1982
页码 1-13
总页数 13
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Matrices; Algorithms; Polynomials;

机译：矩阵;算法;多项式;

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专利

1. Short Communication A Note on the Stability of Gauss-Jordan Elimination for Diagonally Dominant Matrices [J] . A. N. Malyshev, Bergen Computing . 2000,第3期

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2. Sequential Matrix Diagonalization Algorithms for Polynomial EVD of Parahermitian Matrices [J] . Redif S., Weiss S., McWhirter J.G. Signal Processing, IEEE Transactions on . 2015,第1期

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3. A note on matrices with prescribed off-diagonal submatrix and characteristic polynomial [J] . Alberto Borobia, Roberto Canogar Linear Algebra and its Applications . 2014,第Null期

机译：关于具有规定的非对角子矩阵和特征多项式的矩阵的注释
4. NTRU Inverse Polynomial Algorithm Based on Circulant Matrices using Gauss-Jordan Elimination [C] . Gaithuru Juliet Nyokabi, Mazleena Salleh, Ismail Mohamad ICT International Student Project Conference . 2017

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5. Algorithms for normal forms for matrices of polynomials and Ore polynomials. [D] . Cheng, Howard. 2003

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7. BLOCK COMPANION MATRICES, DISCRETE–TIME BLOCK DIAGONAL STABILITY AND POLYNOMIAL MATRICES [O] . Harald K. Wimmer 2014

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8. M-MATRICES MATRICES WITH NONPOSITIVE OFF-DIAGONAL ELEMENTS AND POSITIVE PRINCIPAL MINORS [R] . MITUHIKO ARAKI 1974

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Modified Gauss Diagonalization of Polynomial Matrices

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