Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Matrix quadratic equations column/row reduced factorizations and an inertia theorem for matrix polynomials

100%

Karelin I., Lerer L.

International Journal of Applied Mathematics and Computer Science

2001

tom 11

nr 6

1285-1310

It is shown that a certain Bezout operator provides a bijective correspondence between the solutions of the matrix quadratic equation and factorizatons of a certain matrix polynomial (which is a specification of a Popov-type function) into a product of row and column reduced polynomials. Special attention is paid to the symmetric case, i.e. to the Algebraic Riccati Equation. In particular, it is shown that extremal solutions of such equations correspond to spectral factorizations of . The proof of these results depends heavily on a new inertia theorem for matrix polynomials which is also one of the main results in this paper.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Karelin I.

1 Lerer L.

1 2001

Wyniki wyszukiwania

Matrix quadratic equations column/row reduced factorizations and an inertia theorem for matrix polynomials