A novel approach to determination of a transition function with repeated eigenvalues constant matrix

Abstract

An analytical function of a matrix with repeated eigenvalues is expressed in terms of constituent matrices. Two approaches to computing the constituent matrices are then presented. For a special case of a companion matrix, the computation can be greatly simplified.

Keywords:

• The generalized vandermonde matrix
• The partial fraction expansion
• Constant matrix
• Characteristic polynomial
• Longhand division

C.R.Categories:

• G.1.3
• 1.2

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Notes

^∗Corresponding author