The numerical solution of systems of polynomials ; arising in engineeing and science
著者
書誌事項
The numerical solution of systems of polynomials ; arising in engineeing and science
World Scientific, c2005
大学図書館所蔵 件 / 全9件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 379-395) and index
内容説明・目次
内容説明
Written by the founders of the new and expanding field of numerical algebraic geometry, this is the first book that uses an algebraic-geometric approach to the numerical solution of polynomial systems and also the first one to treat numerical methods for finding positive dimensional solution sets. The text covers the full theory from methods developed for isolated solutions in the 1980's to the most recent research on positive dimensional sets.
目次
- Background: Polynomial Systems
- Homotopy Continuation
- Projective Spaces
- Probability One
- Polynomials of One Variable
- Other Methods
- Isolated Solutions: Coefficient-Parameter Homotopy
- Polynomial Structures
- Case Studies
- Endpoint Estimation
- Checking
- Positive Dimensional Solution Sets: Some Concepts from Algebraic Geometry
- Basic Numerical Algebraic Geometry
- Cascading Through Embedded Systems
- The Numerical Irreducible Decomposition
- Intersection of Algebraic Sets.
「Nielsen BookData」 より
