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Schur Complement Factorization and Parallel O(Log N) Algorithms for Computation of Operation / Space Mass Matrix and Its Inverse

By Amir Fijany

Abstract

In this paper new factorization techniques for computation of the Operational Space Mass Matrix (A) and its inverse (A-l) are developed. Starting with a new factorization of the inverse of mass matrix (M-l) in the form of Schur Complement as M-l = G ’- %)TsI-lB, where d and 8 are block tridlagonal matrices and G is a tridiagonal matrix, similar factorization for A and A-i are derived. Specifically, the Schur Complement factorizatlons of A-l and A are derive

Year: 2009
OAI identifier: oai:CiteSeerX.psu:10.1.1.134.8336
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