'Jacobi iteration' presentation slideshows

Parallel Port Example

Parallel Port Example. Introduction. The objective of this lecture is to go over a simple problem that illustrates the use of the MPI library to parallelize a partial differential equation (PDE).

775 views • 60 slides

Numerical Algorithms

Numerical Algorithms. .Matrix Multiplication .Gaussian Elimination .Jacobi Iteration .Gauss-Seidel Relaxation. Numerical Algorithms. Matrix addition. Numerical Algorithms. Matrix Multiplication. Numerical Algorithms. Matrix-Vector Multiplication. Implementing Matrix Multiplication.

598 views • 37 slides

Iterative Solution Methods

Iterative Solution Methods. Starts with an initial approximation for the solution vector (x 0 ) At each iteration updates the x vector by using the sytem Ax=b During the iterations A, matrix is not changed so sparcity is preserved Each iteration involves a matrix-vector product

440 views • 37 slides

Lecture 8 - Iterative systems of Equations

686 views • 33 slides

Applications of Algebraic Multigrid to Large Scale Mechanics Problems

Applications of Algebraic Multigrid to Large Scale Mechanics Problems. Mark F. Adams 22 October 2004. Outline. Algebraic multigrid (AMG) introduction Industrial applications Micro-FE bone modeling Olympus Parallel FE framework Scalability studies on IBM SPs Scaled speedup Plain speedup

457 views • 32 slides

Solving Scalar Linear Systems Iterative approach

Solving Scalar Linear Systems Iterative approach. Lecture 15 MA/CS 471 Fall 2003. Some matlab scripts to construct various types of random circuit loop matrices are available at the class website:. The Sparsity Pattern of a Loop Circuit Matrix for a Random Circuit (with 1000 closed loops).

383 views • 30 slides

Synchronous Iteration

Synchronous Iteration. Iteration-based computation is a powerful method for solving numerical (and some non-numerical) problems.

407 views • 27 slides

Choosing MPI Alternatives

Choosing MPI Alternatives. MPI offers may ways to accomplish the same task Which is best? Just like everything else, it depends on the vendor, system architecture Like C and Fortran, MPI provides the programmer with the tools to achieve high performance without sacrificing portability

343 views • 18 slides

Chapter 12: Iterative Methods

Chapter 12: Iterative Methods. Uchechukwu Ofoegbu Temple University. Gauss-Seidel Method. The Gauss-Seidel method is the most commonly used iterative method for solving linear algebraic equations [ A ]{ x }={ b }.

408 views • 13 slides

Chapter 12: Iterative Methods

Chapter 12: Iterative Methods. Uchechukwu Ofoegbu Temple University. Gauss-Seidel Method. The Gauss-Seidel method is the most commonly used iterative method for solving linear algebraic equations [ A ]{ x }={ b }.

155 views • 13 slides