# 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