'Vector norms' diaporamas de présentation

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

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Numerical Computation

Numerical Computation. Lecture 9: Vector Norms and Matrix Condition Numbers United International College. Review. During our Last Class we covered: Operation count for Gaussian Elimination, LU Factorization Accuracy of Matrix Methods Readings: Pav, section 3.4.1 Moler, section 2.8.

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MATH 685/ CSI 700/ OR 682 Lecture Notes

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Vector Norms and the related Matrix Norms

Vector Norms and the related Matrix Norms. Properties of a Vector Norm: Euclidean Vector Norm: Riemannian metric:. If is a regular vector-norm on the n-dimemsional vector space, and if A is an matrix, we define the related matrix-norm as

388 views • 13 slides