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Author:   Dongming Wang ,  Li-Hong Zhi
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2007 ed.
Dimensions:   Width: 17.00cm , Height: 2.40cm , Length: 24.40cm
Weight:   0.876kg
ISBN:  

9783764379834

ISBN 10:   3764379839
Pages:   395
Publication Date:   22 January 2007
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

On a Generalized Companion Matrix Pencil for Matrix Polynomials Expressed in the Lagrange Basis.- Ill-conditioned Properties and Hybrid Computations.- Rational Interpolation and Its Ill-conditioned Property.- Computing Approximate GCD of Multivariate Polynomials.- Structured Low Rank Approximation of a Sylvester Matrix.- Implementation of Fast Low Rank Approximation of a Sylvester Matrix.- New Algorithms for Exact and Approximate Polynomial Decomposition.- Amortized Bound for Root Isolation via Sturm Sequences.- An Algorithm of Real Root Isolation for Polynomial Systems with Applications to the Construction of Limit Cycles.- An Algebraic Method for Separating Close-Root Clusters and the Minimum Root Separation.- On the Location of Zeros of an Interval Polynomial.- Root-Finding with Eigen-Solving.- Galois Theory via Eigenvalue Methods.- Pythagore’s Dilemma, Symbolic-Numeric Computation, and the Border Basis Method.- Proposal for the Algorithmic Use of the BKK-Number in the Algebraic Reduction of a O-dimensional Polynomial System.- Evaluation of Jacobian Matrices for Newton’s Method with Deflation to Approximate Isolated Singular Solutions of Polynomial Systems.- On Approximate Linearized Triangular Decompositions.- On the Extended Iterative Proportional Scaling Algorithm.- Preprocessing for Finite Element Discretizations of Geometric Problems.- Symbolic Computation Sequences and Numerical Analytic Geometry Applied to Multibody Dynamical Systems.- A Symbolic-Numeric Approach to an Electric Field Problem.- Financial Applications of Symbolically Generated Compact Finite Difference Formulae.- Symbolic Analyzer for Large Lumped and Distributed Networks.

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