Vector Space Ideas Computing A^m

  • Hamide Dogan UTEP Mathematics EL Paso, TX, United States
Keywords: Matrix Power Algorithm; Linear Algebra; Vector Spaces; Linear Systems

Abstract

We discuss an algorithm with a simplistic approach to solving systems of linear equations arising from the application of real-valued vector space ideas to the computation of the large powers of square matrices.

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References

A. Von Sohsten de Medeiros (2002) Elementary Linear Algebra and the Division Algorithm. The College Mathematics Journal. The Mathematical Association of America.

R. Abu-Saris and W. Ahmad (2005) Avoiding Eigenvalues in Computing Matrix Power, The American Mathematical Monthly , Vol. 112, Number 5, (May 2005) 450-454.

S.N. Elaydi and W. A. Harris, Jr. (1997) On the computation of An

, SIAM Rev. 40 (1998) 965-971.

A. Sheldon (1997). Linear Algebra Done Right. Second Edition. Springer.

Published
2017-01-16
How to Cite
Dogan, H. (2017). Vector Space Ideas Computing A^m. Journal of Progressive Research in Mathematics, 11(1), 1530-1536. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/989
Section
Articles