| Description |
1 online resource (viii, 394 pages) : illustrations |
| Series |
Trends in Mathematics |
|
Trends in mathematics.
|
| 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 |
| Summary |
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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| In |
OhioLINK electronic book center |
|
SpringerLink |
| Subject |
Computable functions -- Data processing -- Congresses
|
|
Numerical analysis -- Congresses
|
|
Logic, Symbolic and mathematical -- Congresses
|
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Numerical analysis.
|
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Logic, Symbolic and mathematical.
|
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Computable functions -- Data processing.
|
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Computable functions -- Data processing
|
|
Logic, Symbolic and mathematical
|
|
Numerical analysis
|
| Genre/Form |
proceedings (reports)
|
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Conference papers and proceedings
|
|
Conference papers and proceedings.
|
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Actes de congrès.
|
| Form |
Electronic book
|
| Author |
Zhi, Lihong.
|
| ISBN |
9783764379841 |
|
3764379847 |
|
9783764379834 |
|
3764379839 |
|
