Triangular decomposition of semi-algebraic systems
β Scribed by Changbo Chen; James H. Davenport; John P. May; Marc Moreno Maza; Bican Xia; Rong Xiao
- Book ID
- 118480733
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 383 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0747-7171
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let A be a finite-dimensional hereditary algebra over a finite field, and let Ε½ . Ε½ . H H A and C C A be, respectively, the RingelαHall algebra and the composition w x Ε½ . w x algebra of A. Define r to be the element Γ M g H H A , where M runs over d the isomorphism classes of the regular A-modules
the composition algebra of A. Let P P resp. I I be the subalgebra of Ε½ . Ε½ . C C A generated by the preprojective resp. preinjective A-modules, and let T T be w x Ε½ . w x the subalgebra generated by r , where r s Γ M g H H A , M runs over the d d Ε½ . isomorphism classes of the regular A-modules with
In thG paper the "convergence" of an iterative refinement procedure for solving triangular linear algebraic systems is proved. The application of this procedure to the "accurate" LU decomposition of near-singular systems is descm'bed. A simple nunaerical example illustrates the theory.