Constructing a Generator of Matrices with Pattern

George Halkos and Kyriaki Tsilika

MPRA Paper from University Library of Munich, Germany

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 Eij, 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: Matrices with pattern; functional programming; computer software (search for similar items in EconPapers)
JEL-codes: C02 C62 C63 C88 (search for similar items in EconPapers)
Date: 2012
New Economics Papers: this item is included in nep-cmp and nep-ore
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Published in International Journal of Information Science and Computer Mathematics 2.4(2011): pp. 101-117

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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:43614

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