Relaxation (iterative methods) | Numerical linear algebra | Matrices

Matrix splitting

In the mathematical discipline of numerical linear algebra, a matrix splitting is an expression which represents a given matrix as a sum or difference of matrices. Many iterative methods (for example, for systems of differential equations) depend upon the direct solution of matrix equations involving matrices more general than tridiagonal matrices. These matrix equations can often be solved directly and efficiently when written as a matrix splitting. The technique was devised by Richard S. Varga in 1960. (Wikipedia).

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4.2.1 Partitioned Matrix-Vector Multiplication

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From playlist LAFF - Week 4

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Matrix Multiplication

This video explains how to multiply matrices. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/

From playlist Matrices

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From playlist Multiplying and Dividing Fractions

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This video provided two examples of division involving mixed numbers. Complete video list at http://www.mathispower4u.com

From playlist Multiplying and Dividing Mixed Numbers

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From playlist Multiplication and Division of Mixed Numbers

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From playlist Multiplying and Dividing Mixed Numbers

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From playlist MegaFavNumbers

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From playlist The Determinant of a Matrix

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More resources available at www.misterwootube.com

From playlist Further Polynomials

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From playlist CSE549 - Computational Biology - 2010 SBU

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From playlist My Students

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From playlist MIT 15.071 The Analytics Edge, Spring 2017

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Related pages

Differential equation | Jacobi method | Convergent matrix | Stieltjes matrix | M-matrix | List of operator splitting topics | Successive over-relaxation | Diagonal matrix | Matrix decomposition | Gauss–Seidel method | Iterative method | Mathematics | Numerical linear algebra | Spectral radius | Time complexity | Richard S. Varga | Tridiagonal matrix | Triangular matrix | Matrix (mathematics) | Invertible matrix