Title :
Solution of Large, Sparse Systms in Design and Analysis
Author :
Wexler, A. ; Dobrowalski, J.A. ; Hammad, A.E.
Author_Institution :
Dept. of Electr. Eng., Univ. of Manitoba, Winnipeg, MB, Canada
Abstract :
Presents some basic principles of the solution of large systems of simultaneous linear equations by sparsity methods, particularly Zollenkopf´s bifactorisation method, and describes diakoptics (Gabriel Kron´s method of tearing). Implications of these two approaches, used together, are discussed with particular reference to system optimization and finite-element analysis of nonlinear and large problems.
Keywords :
finite element analysis; matrix decomposition; network topology; sparse matrices; Gabriel Kron´s method; Zollenkopf´s bifactorisation method; diakoptics; finite-element analysis; linear equations; sparse systems; sparsity methods; system optimization; Algorithm design and analysis; Computer networks; Diakoptics; Finite difference methods; Finite element methods; Iterative algorithms; Nonlinear equations; Optimization methods; Sparse matrices; Transmission line matrix methods;
Conference_Titel :
Microwave Symposium, 1975 IEEE-MTT-S International
Conference_Location :
Palo Alton, CA
DOI :
10.1109/MWSYM.1975.1123333
