X - International Journal of Information Science and Computer Mathematics (Closed Ed TRF)
Volume 4, Issue 2, Pages 101 - 117
(November 2011)
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CONSTRUCTING A GENERATOR OF MATRICES WITH PATTERN
George E. Halkos and Kyriaki D. Tsilika
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Abstract: Computations with large matrices work out faster with computer software, even faster creating automatically the matrix of the size and pattern needed. In this paper, we propose free computer algebra system Xcas resources to display particular matrices that can be called up directly. Our computer codes provide shortcuts for entering random block diagonal matrices, random triangular matrices, random and specialized band matrices, elementary matrices Fourier matrices. As for matrices needed in the study of mathematical issues concerning the properties of the roots of a polynomial, we create features with polynomial coefficients. We also propose codes for immediate construction of functional matrices such as Jacobian, bordered Hessian and Wronskian. The computer codes proposed provide visual representation of the matrix pattern (which is traditionally explained using indices and numerals), infinite number of examples using random numbers and immediate construction of large matrices of various forms. |
Keywords and phrases: matrices with pattern, functional programming, computer software. |
Communicated by Kewen Zhao |
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