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Multidimensional structured matrices and polynomial systems
Author(s) -
Bernard Mourrain,
Victor Y. Pan
Publication year - 1996
Publication title -
calcolo
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.876
H-Index - 33
eISSN - 1126-5434
pISSN - 0008-0624
DOI - 10.1007/bf02576011
Subject(s) - toeplitz matrix , mathematics , theory of computation , univariate , polynomial , algebra over a field , algebraic number , computation , system of polynomial equations , polynomial matrix , matrix polynomial , pure mathematics , multivariate statistics , mathematical analysis , algorithm , statistics
We apply and extend some well-known and some recent techniques from algebraic residue theory in order to relate to each other two major subjects of algebraic and numerical computing, that is, computations with structured matrices and solving a system of polynomial equations. In the first part of our paper, we extend the Toeplitz and Hankel structures of matrices and some of their known properties to some new classes of structured (quasi-Hankel and quasi-Toeplitz) matrices, naturally associated...

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