Explicit Block-Structures for Block-Symmetric Fiedler-like pencils
نویسندگان
چکیده
منابع مشابه
Explicit Block-structures for Block-symmetric Fiedler-like Pencils∗
In the last decade, there has been a continued effort to produce families of strong linearizations of a matrix polynomial P (λ), regular and singular, with good properties, such as, being companion forms, allowing the recovery of eigenvectors of a regular P (λ) in an easy way, allowing the computation of the minimal indices of a singular P (λ) in an easy way, etc. As a consequence of this resea...
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The standard way of solving the polynomial eigenvalue problem associated with a matrix polynomial is to embed the matrix polynomial into a matrix pencil, transforming the problem into an equivalent generalized eigenvalue problem. Such pencils are known as linearizations. Many of the families of linearizations for matrix polynomials available in the literature are extensions of the so-called fam...
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Fiedler pencils are a family of strong linearizations for polynomials expressed in the monomial basis, that include the classical Frobenius companion pencils as special cases. We generalize the definition of a Fiedler pencil from monomials to a larger class of orthogonal polynomial bases. In particular, we derive Fiedler-comrade pencils for two bases that are extremely important in practical ap...
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ژورنال
عنوان ژورنال: The Electronic Journal of Linear Algebra
سال: 2018
ISSN: 1081-3810
DOI: 10.13001/1081-3810.3667