Numerical Polynomial Algebra

Preface; Part I: Polynomials and Numerical Analysis; Chapter 1: Polynomials; Chapter 2: Representations of Polynomial Ideals; Chapter 3: Polynomials with Coefficients of Limited Accuracy; Chapter 4: Approximate Numerical Computation; Part II: Univariate Polynomial Problems; Chapter 5: Univariate Polynomials; Chapter 6: Various Tasks with Empirical Univariate Polynomials; Part III: Multivariate Polynomial Problems; Chapter 7: One Multivariate Polynomial; Chapter 8: Zero-Dimensional Systems of Multivariate Polynomials; Chapter 9: Systems of Empirical Multivariate Polynomials; Chapter 10: Numerical Basis Computation; Part IV: Positive-Dimensional Polynomial Systems; Chapter 11: Matrix Eigenproblems for Positive-Dimensional Systems; Index