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Symbolic-Numeric Computation

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Cover of 'Symbolic-Numeric Computation'

Table of Contents

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    Book Overview
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    Chapter 1 On a Generalized Companion Matrix Pencil for Matrix Polynomials Expressed in the Lagrange Basis
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    Chapter 2 Ill-conditioned Properties and Hybrid Computations
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    Chapter 3 Rational Interpolation and Its Ill-conditioned Property
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    Chapter 4 Computing Approximate GCD of Multivariate Polynomials
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    Chapter 5 Structured Low Rank Approximation of a Sylvester Matrix
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    Chapter 6 Implementation of Fast Low Rank Approximation of a Sylvester Matrix
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    Chapter 7 New Algorithms for Exact and Approximate Polynomial Decomposition
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    Chapter 8 Amortized Bound for Root Isolation via Sturm Sequences
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    Chapter 9 An Algorithm of Real Root Isolation for Polynomial Systems with Applications to the Construction of Limit Cycles
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    Chapter 10 An Algebraic Method for Separating Close-Root Clusters and the Minimum Root Separation
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    Chapter 11 On the Location of Zeros of an Interval Polynomial
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    Chapter 12 Root-Finding with Eigen-Solving
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    Chapter 13 Galois Theory via Eigenvalue Methods
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    Chapter 14 Pythagore’s Dilemma, Symbolic-Numeric Computation, and the Border Basis Method
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    Chapter 15 Proposal for the Algorithmic Use of the BKK-Number in the Algebraic Reduction of a O-dimensional Polynomial System
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    Chapter 16 Evaluation of Jacobian Matrices for Newton’s Method with Deflation to Approximate Isolated Singular Solutions of Polynomial Systems
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    Chapter 17 On Approximate Linearized Triangular Decompositions
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    Chapter 18 On the Extended Iterative Proportional Scaling Algorithm
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    Chapter 19 Preprocessing for Finite Element Discretizations of Geometric Problems
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    Chapter 20 Symbolic Computation Sequences and Numerical Analytic Geometry Applied to Multibody Dynamical Systems
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    Chapter 21 A Symbolic-Numeric Approach to an Electric Field Problem
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    Chapter 22 Financial Applications of Symbolically Generated Compact Finite Difference Formulae
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    Chapter 23 Symbolic Analyzer for Large Lumped and Distributed Networks
Attention for Chapter 18: On the Extended Iterative Proportional Scaling Algorithm
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Chapter title
On the Extended Iterative Proportional Scaling Algorithm
Chapter number 18
Book title
Symbolic-Numeric Computation
Published by
Birkhäuser Basel, January 2007
DOI 10.1007/978-3-7643-7984-1_18
Book ISBNs
978-3-76-437983-4, 978-3-76-437984-1
Authors

Ming-Deh Huang, Qing Luo

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