Solutions of the matrix equation (1):X m+A 1Xm−1+…+A m=0

Author:

Cheng-gui Huang

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference15 articles.

1. Thurston H.S. and Mary K. Alexander,The equation X 2+PX+Q=0 in binary matrices, Amer. Math. Monthly, (1954), 8–17.

2. Flanders, Harley,On polynomial matrix equations, College Math. J.,17 (1986), 388–391.

3. Petkov, Milko,On the matrix equation A 0Xm+A1Xm−1+…+Am=0, (A 0λ m +A 0λ m−1 +…+Am)x=0, Bulgarian, English summary, Annuaire Univ. Sofia Fac. Math. Mec.,72 (1978), 159–164 (1986).

4. Maloulas, J.,A theorem on the factorization of matrix polynomials, Linear Algebra Appl.,84 (1986), 311–322.

5. Mazko, A.G.,Distribution of a matrix polynomial with respect to plane curves, Russian, Numerical-Analytical Math., 90–96, Akad Nauk Ukrain SSR, Inst. Mat. Kiev, 1984.

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