Traces of matrix products.

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Huang_Zhanwen_December2009.pdf (190.94 KB)

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Traces of matrix products.

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Huang, Zhanwen

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2009-12

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Thesis or Dissertation

Abstract

A formula for the number of trace equivalent classes for a matrix string of 2× 2 matrices which is comprised of two different matrices A and B with k A's and n − k B's is derived. Simulations for traces of matrix products with 2 A's and n B's for n varying from 2 to10are carried out. A comparison between traces of ABAB and AABB and their connection to the eigenvalues of individual matrix is discussed. A formula for a special case is given and a potential application in Statistical Physics is provided. Key Words: Trace, Matrix Products, Trace Equivalent Class

Keywords

Matrix Products

Trace

Trace Equivalent Class

Applied and Computational mathematics

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University of Minnesota M.S. thesis. December 2009. Major: Applied and Computational Mathematics. Advisor: John Greene. 1 computer file (PDF); iv, 31 pages, appendix page 22.

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Huang, Zhanwen. (2009). Traces of matrix products.. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/59872.

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