Exact computation of the number of zeros of a real polynomial in the open unit disk by a determinant representation

Author:

Gleyse B.,Moflih M.

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modelling and Simulation

Reference12 articles.

1. Basic Algorithms in Real Algebraic Geometry and their Complexity: From Sturm Theorem to the Existential Theory of Reals;Roy,1995

2. A generalisation of the zero location theorem of Schur and Cohn;Ptak;IEEE Transaction on Automatic Control,1980

3. Bezoutiants, elimination and localization;Householder;SIAM Review,1970

4. Geometry of polymomials;Marden;Amer. Math. Soc.,1966

5. Schur-Cohn subtransforms of polynomial;Saux-Picart;J. Symb. Comp.,1993

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1. Applications of Eigenvalue Counting and Inclusion Theorems in Model Order Reduction;Scientific Computing in Electrical Engineering SCEE 2008;2010

2. Improvement of the Eigenvalue-Counting Method Based on the Argument Principle;Journal of Engineering Mechanics;2008-10

3. Modified Sturm Sequence Property for Damped Systems;Journal of Engineering Mechanics;2006-07

4. Eigenvalue-counting methods for non-proportionally damped systems;International Journal of Solids and Structures;2003-11

5. Distribution of Zeros and Inequalities for Zeros of Algebraic Polynomials;Functional Equations and Inequalities;2000

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