A matrix norm is a number dened in terms of the entries of the matrix. The norm is a useful
quantity which can give important information about a matrix.
be familiar with matrices and their use in
writing systems of eq
Relation between Eigenvalues and
Singular Values in the Problem
of Stability Maintenance
of Ellipsoidal Estimates
Taalaibek A. Akunov and Anatoly V. Ushakov
Department of Automatic and Remote Control
St.-Petersburg State Institute of Fine Mechanics
Denition 2.1 Let x E n = V W . Then x can be uniquely decomposed
x = x1 + x2 (where x1 V and x2 W ).
The transformation that maps x into x1 is called the projection matrix (or
simply projector) onto V along