Solving Sparse Matrix Equations
Both iterative and direct methods exist for sparse matrix solving.
Iterative methods, such as conjugate gradient method and GMRES utilize fast computations of matrix-vector products, where matrix is sparse. The use of preconditioners can significantly accelerate convergence of such iterative methods.
Read more about this topic: Sparse Matrix
Famous quotes containing the words solving, sparse and/or matrix:
“Science is a dynamic undertaking directed to lowering the degree of the empiricism involved in solving problems; or, if you prefer, science is a process of fabricating a web of interconnected concepts and conceptual schemes arising from experiments and observations and fruitful of further experiments and observations.”
—James Conant (1893–1978)
“The report reflects incredibly terrible judgments, shockingly sparse concern for human life, instances of officials lacking the courage to exercise the responsibilities of their high office and some very bewildering thought processes.”
—Jane Jarrell Smith, U.S. widow of American astronaut Michael J. Smith. As quoted in Newsweek magazine, p. 13 (June 30, 1986)
“In all cultures, the family imprints its members with selfhood. Human experience of identity has two elements; a sense of belonging and a sense of being separate. The laboratory in which these ingredients are mixed and dispensed is the family, the matrix of identity.”
—Salvador Minuchin (20th century)