Matrix Polynomial

A polynomial with matrix coefficients. An nth order matrix polynomial in a variable t is given by


where A_k are p×p square matrices.

See also

Cayley-Hamilton Theorem, Matrix Power, Nilpotent Matrix, Polynomial Matrix

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Edelman, A. and Kostlan, E. "How Many Zeros of a Random Polynomial are Real?" Bull. Amer. Math. Soc. 32, 1-37, 1995.Faddeeva, V. N. Computational Methods of Linear Algebra. New York: Dover, p. 13, 1958.

Referenced on Wolfram|Alpha

Matrix Polynomial

Cite this as:

Weisstein, Eric W. "Matrix Polynomial." From MathWorld--A Wolfram Web Resource.

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