
Symbolic-Numeric Computation
Birkhäuser (Publisher)
Published on 22. January 2007
Book
Hardback
VIII, 395 pages
978-3-7643-7983-4 (ISBN)
Description
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 presents 23 research articles on the integration and interaction of symbolic and numeric computation.
More details
Series
Edition
2007 ed.
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Professional and scholarly
Research
Illustrations
VIII, 395 p.
Dimensions
Height: 250 mm
Width: 175 mm
Thickness: 28 mm
Weight
876 gr
ISBN-13
978-3-7643-7983-4 (9783764379834)
DOI
10.1007/978-3-7643-7984-1
Schweitzer Classification
Other editions
Additional editions

Dongming Wang | Li-Hong Zhi
Symbolic-Numeric Computation
E-Book
06/2007
1st Edition
Birkhäuser
€53.49
Available for download
Content
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.