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Constructing a Generator of Matrices with Pattern

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  • Halkos, George
  • Tsilika, Kyriaki

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.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 43614.

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Date of creation: 2012
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Publication status: Published in International Journal of Information Science and Computer Mathematics 2.4(2011): pp. 101-117
Handle: RePEc:pra:mprapa:43614

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

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References

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  1. Halkos, George & Tsilika, Kyriaki, 2012. "Programming identification criteria in simultaneous equation models," MPRA Paper 43467, University Library of Munich, Germany.
  2. Lloyd, William P & Lee, Cheng F, 1976. "Block Recursive Systems in Asset Pricing Models," Journal of Finance, American Finance Association, American Finance Association, vol. 31(4), pages 1101-13, September.
  3. Tarr, David G, 1976. "Distributed Lags, Morishima Matrices, and the Stability of Economic Models," Econometrica, Econometric Society, Econometric Society, vol. 44(3), pages 597-600, May.
  4. Halkos, George & Tsilika, Kyriaki, 2012. "Stability analysis in economic dynamics: A computational approach," MPRA Paper 41371, University Library of Munich, Germany.
  5. Batten, D & Martellato, D, 1985. "Classical versus Modern Approaches to Interregional Input-Output Analysis," The Annals of Regional Science, Springer, Springer, vol. 19(3), pages 1-15, November.
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