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:
“If we parents accept that problems are an essential part of life’s challenges, rather than reacting to every problem as if something has gone wrong with universe that’s supposed to be perfect, we can demonstrate serenity and confidence in problem solving for our kids....By telling them that we know they have a problem and we know they can solve it, we can pass on a realistic attitude as well as empower our children with self-confidence and a sense of their own worth.”
—Barbara Coloroso (20th century)
“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)
““The matrix is God?”
“In a manner of speaking, although it would be more accurate ... to say that the matrix has a God, since this being’s omniscience and omnipotence are assumed to be limited to the matrix.”
“If it has limits, it isn’t omnipotent.”
“Exactly.... Cyberspace exists, insofar as it can be said to exist, by virtue of human agency.””
—William Gibson (b. 1948)