Solving Polynominal Systems Using Continuation for Engineering and Scientific Problems

Alexander Morgan retired in 2008 after 30 years as an industrial mathematician with the General Motors Corporation. His research interests include the numerical solution of systems of polynomial equations; the development of practical knowledge systems; and, more recently, data mining, text analysis, and information extraction for healthcare, quality, and warranty databases.

Preface to the classics edition; Preface; Introduction; Part I. The Method: 1. One equation in one unknown; 2. Two equations in two unknowns; 3. General systems; 4. Implementation; 5. Scaling; 6. Other continuation methods; Part II. Applying the Method: 7. Reduction; 8. Geometric intersection problems; 9. Chemical equilibrium systems; 10. Kinematics of mechanisms; Appendices: Appendix 1. Newton's method; Appendix 2. Emulating complex operations in real arithmetic; Appendix 3. Some real-complex calculus formulas; Appendix 4. Proofs of results from Chapter 3; Appendix 5. Gaussian elimination for system reduction; Appendix 6. Computer programs; Bibliographies and References: Brief bibliography; Addition bibliography; References; Index.