Symbolic-Numeric Computation

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.