Halkos, George and Tsilika, Kyriaki
(2012):
*Constructing a Generator of Matrices with Pattern.*
Published in: International Journal of Information Science and Computer Mathematics
, Vol. 4, No. 2
(2011): pp. 101-117.

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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 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.

Item Type: | MPRA Paper |
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Original Title: | Constructing a Generator of Matrices with Pattern |

Language: | English |

Keywords: | Matrices with pattern; functional programming; computer software |

Subjects: | C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C63 - Computational Techniques ; Simulation Modeling C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods C - Mathematical and Quantitative Methods > C8 - Data Collection and Data Estimation Methodology ; Computer Programs > C88 - Other Computer Software C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62 - Existence and Stability Conditions of Equilibrium |

Item ID: | 43614 |

Depositing User: | G.E. Halkos |

Date Deposited: | 07 Jan 2013 10:31 |

Last Modified: | 27 Sep 2019 18:00 |

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URI: | https://mpra.ub.uni-muenchen.de/id/eprint/43614 |