Symbolic-Numeric Computation

1. On a Generalized Companion Matrix Pencil for Matrix Polynomials Expressed in the Lagrange Basis
Robert M. Corless

2. Ill-conditioned Properties and Hybrid Computations
Matu-Tarow Noda

3. Rational Interpolation and Its Ill-conditioned Property
Hiroshi Kai

4. Computing Approximate GCD of Multivariate Polynomials
Masaru Sanuki

5. Structured Low Rank Approximation of a Sylvester Matrix
Erich Kaltofen, Zhengfeng Yang, Lihong Zhi

6. Implementation of Fast Low Rank Approximation of a Sylvester Matrix
Bingyu Li, Zhuojun Liu, Lihong Zhi

7. New Algorithms for Exact and Approximate Polynomial Decomposition
Mark Giesbrecht, John May

8. Amortized Bound for Root Isolation via Sturm Sequences
Zilin Du, Vikram Sharma, Chee K. Yap

9. An Algorithm of Real Root Isolation for Polynomial Systems with Applications to the Construction of Limit Cycles
Zhengyi Lu, Bi He, Yong Luo, Lu Pan

10. An Algebraic Method for Separating Close-Root Clusters and the Minimum Root Separation
Tateaki Sasaki, Fujio Kako

11. On the Location of Zeros of an Interval Polynomial
Hiroshi Sekigawa, Kiyoshi Shirayanagi

12. Root-Finding with Eigen-Solving
Victor Y. Pan, Brian Murphy, Rhys Eric Rosholt, Dmitriy Ivolgin, Yuqing Tang, Xiaodong Yan, Xinmao Wang

13. Galois Theory via Eigenvalue Methods
David A. Cox

14. Pythagore’s Dilemma, Symbolic-Numeric Computation, and the Border Basis Method
Bernard Mourrain

15. Proposal for the Algorithmic Use of the BKK-Number in the Algebraic Reduction of a O-dimensional Polynomial System
Hans J. Stetter

16. Evaluation of Jacobian Matrices for Newton’s Method with Deflation to Approximate Isolated Singular Solutions of Polynomial Systems
Anton Leykin, Jan Verschelde, Ailing Zhao

17. On Approximate Linearized Triangular Decompositions
Marc Moreno Maza, Greg J. Reid, Robin Scott, Wenyuan Wu

18. On the Extended Iterative Proportional Scaling Algorithm
Ming-Deh Huang, Qing Luo

19. Preprocessing for Finite Element Discretizations of Geometric Problems
Hong Gu, Martin Burger

20. Symbolic Computation Sequences and Numerical Analytic Geometry Applied to Multibody Dynamical Systems
Wenqin Zhou, David J. Jeffrey, Greg J. Reid

21. A Symbolic-Numeric Approach to an Electric Field Problem
David J. Jeffrey, Silvana Ilie, James M. Gardiner, Steven W. Campbell

22. Financial Applications of Symbolically Generated Compact Finite Difference Formulae
Jichao Zhao, Robert M. Corless, Matt Davison

23. Symbolic Analyzer for Large Lumped and Distributed Networks
Majid A. Al-Taee, Fawzi M. Al-Naima, Bessam Al-Jewad

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Keywords: MATHEMATICS / General MAT000000