PlanetMath: self consistent matrix norm

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self consistent matrix norm

(Definition)

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

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

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

"self consistent matrix norm" is owned by rspuzio. [ full author list (2) | owner history (1) ]

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Also defines:

self consistent norm, self-consistent matrix norm, self-consistent norm, self-consistent, self consistent

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Cross-references: matrices, matrix norm
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This is version 7 of self consistent matrix norm, born on 2003-05-27, modified 2006-10-21.
Object id is 4310, canonical name is SelfConsistentMatrixNorm.
Accessed 8068 times total.

Classification:

15A60 (Linear and multilinear algebra; matrix theory :: Norms of matrices, numerical range, applications of functional analysis to matrix theory)

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