Polynomial Bezoutian matrix with respect to a general basis
نویسندگان
چکیده
منابع مشابه
More on polynomial Bezoutians with respect to a general basis
We use unified algebraic methods to investigate the properties of polynomial Bezoutians with respect to a general basis. Not only can three known results be easily verified, but also some new properties of polynomial Bezoutians are obtained. Nonsymmetric Lyapunov-type equations of polynomial Bezoutians are also discussed. It turns out that most properties of classical Bezoutians can be analogou...
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We use unified algebraic methods to investigate the properties of polynomial Bezoutians with respect to a general basis. Not only can three known results be easily verified, but also some new properties of polynomial Bezoutians are obtained. Nonsymmetric Lyapunov-type equations of polynomial Bezoutians are also discussed. It turns out that most properties of classical Bezoutians can be analogou...
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A foundation polynomial is used to induce polynomial bases for F n?1 x], the vector space of polynomials of degree less than n over an arbitrary eld F. The associated bases are then used to block diagonalize the Bezout matrix of two polynomials under congruence.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2001
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(01)00282-8