matrix norm

A is a norm on the set Mm×n(R) of m×n matrices over a ring R, and is usually denoted by ||||.

The Frobenius matrix norm ||||F and the matrix p-norm ( ||||p are the most frequently used matrix normsMathworldPlanetmath.

A vector norm is a matrix norm for which the ring R is a field.

Title matrix norm
Canonical name MatrixNorm
Date of creation 2013-03-22 11:43:20
Last modified on 2013-03-22 11:43:20
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 17
Author mathcam (2727)
Entry type Definition
Classification msc 65F35
Classification msc 43-02
Classification msc 00A69
Related topic VectorNorm
Related topic FrobeniusMatrixNorm
Related topic MatrixPnorm