Numerical Polynomial Algebra

Abstract

Preface Part I. Polynomials and Numerical Analysis: 1. Polynomials 2. Representations of polynomial ideals 3. Polynomials with coefficients of limited accuracy 4. Approximate numerical computation Part II. Univariate Polynomial Problems: 5. Univariate polynomials 6. Various tasks with empirical univariate polynomials Part III. Multivariate Polynomial Problems: 7. One multivariate polynomial 8. Zero-dimensional systems of multivariate polynomials 9. Systems of empirical multivariate polynomials 10. Numerical basis computation Part IV. Positive-Dimensional Polynomial Systems: 11. Matrix eigenproblems for positive-dimensional systems Index.