self consistent matrix norm

A matrix norm $N$ is said to be self consistent if

$N(\mathbf{A}\mathbf{B})\leq N(\mathbf{A})\cdot N(\mathbf{B})$

for all pairs of matrices $\mathbf{A}$ and $\mathbf{B}$ such that $\mathbf{A}\mathbf{B}$ is defined.

Title	self consistent matrix norm
Canonical name	SelfConsistentMatrixNorm
Date of creation	2013-03-22 13:39:22
Last modified on	2013-03-22 13:39:22
Owner	rspuzio (6075)
Last modified by	rspuzio (6075)
Numerical id	10
Author	rspuzio (6075)
Entry type	Definition
Classification	msc 15A60
Related topic	GelfandSpectralRadiusTheorem
Defines	self consistent norm
Defines	self-consistent matrix norm
Defines	self-consistent norm
Defines	self-consistent
Defines	self consistent