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.