Symbolic-Numeric Computation / edited by Dongming Wang, Lihong Zhi
(Trends in Mathematics)
| データ種別 | 電子ブック |
|---|---|
| 出版情報 | Basel : Birkhäuser Basel , 2007 |
| 本文言語 | 英語 |
| 大きさ | VIII, 395 p : online resource |
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| 内容注記 | 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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| 一般注記 | The growing demand of speed, accuracy, and reliability in scientific and engineering computing has been accelerating the merging of symbolic and numeric computations, two types of computation coexisting in mathematics yet separated in traditional research of mathematical computation. This book with 23 chapters presents original research and tutorial survey on the integration and interaction of symbolic and numeric computations. It represents the current state of the art and will serve as a valuable reference on the development of algorithms and software packages for hybrid symbolic-numeric computation. The book highlights the interaction between symbolic and numeric computations. It contains tutorial surveys by distinguished experts, covers recent advances on key topics, and provides effective methods illustrated with applications |
| 著者標目 | Wang, Dongming editor Zhi, Lihong editor SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Numerical analysis FREE:Mathematics FREE:Numerical Analysis |
| 分 類 | DC23:518 |
| 巻冊次 | ISBN:9783764379841 
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| ISBN | 9783764379841 |
| URL | http://dx.doi.org/10.1007/978-3-7643-7984-1 |
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