Trends in Mathematics : Trends in Mathematics - Dongming Wang

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Trends in Mathematics

By: Dongming Wang (Editor), Li-Hong Zhi (Editor)

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Hardcover | 1 January 2007

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404 Pages

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23.5 x 17.15 x 2.54

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The growing demand of speed, accuracy, and reliability in scientific and engineering computing has been accelerating the merging of symbolic and numeric computations. These two types of computation coexist in mathematics yet are separated in traditional research of mathematical computation. This book presents 27 research articles on the integration and interaction of symbolic and numeric computation.

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You Can Find This Book In

Non-Fiction Mathematics Mathematical Foundation Mathematical Logic Computing & I.T.Computer Science Mathematical Theory of Computation Calculus & Mathematical Analysis Numerical Analysis

On a generalized companion matrix pencil for matrix polynomials expressed in the Lagrange basis	p. 1
Ill-conditioned properties and hybrid computations	p. 17
Rational interpolation and its Ill-conditioned property	p. 47
Computing approximate GCD of multivariate polynomials	p. 55
Structured low rank approximation of a Sylvester matrix	p. 69
Implementation of fast low rank approximation of a Sylvester matrix	p. 85
New algorithms for exact and approximate polynomial decomposition	p. 99
Amortized bound for root isolation via sturm sequences	p. 113
An algorithm of real root isolation for polynomial systems with applications to the construction of limit cycles	p. 131
An algebraic method for separating close-root clusters and the minimum root separation	p. 149
On the location of zeros of an interval polynomial	p. 167
Root-finding with Eigen-solving	p. 185
Galois theory via eigenvalue methods	p. 211
Pythagore's dilemma, symbolic-numeric computation, and the border basis method	p. 223
Proposal for the algorithmic use of the BKK-number in the algebraic reduction of a O-dimensional polynomial system	p. 245
Evaluation of Jacobian matrices for Newton's method with deflation to approximate isolated singular solutions of polynomial systems	p. 269
On approximate linearized triangular decompositions	p. 279
On the extended iterative proportional scaling algorithm	p. 299
Preprocessing for finite element discretizations of geometric problems	p. 315
Symbolic computation sequences and numerical analytic geometry applied to multibody dynamical systems	p. 335
A symbolic-numeric approach to an electric field problem	p. 349
Financial applications of symbolically generated compact finite difference formulae	p. 361
Symbolic analyzer for large lumped and distributed networks	p. 375
Table of Contents provided by Blackwell. All Rights Reserved.

Trends in Mathematics

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Hardcover

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