Browsing by Subject "Trace"

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    Traces of matrix products.
    (2009-12) Huang, Zhanwen
    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