Title :
On the Construction of Projectors Using Products of Elementary Matrices
Author_Institution :
Department of Technical Physics, Helsinki University of Technology
Abstract :
An iterative method of constructing projection matrices on the intersection of subspaces is considered, using a product of elementary matrices. A convergence theorem with two natural assumptions, concerning the gain sequence and the order of representations of the matrices, is established. The result has an application in forming associative memories.
Keywords :
Associative memory; associative recall; correlation matrix memory; iteratively formed associations; projection matrices; Adaptive systems; Associative memory; Convergence; Equations; Filling; Iterative algorithms; Iterative methods; Linear approximation; Mathematics; Pattern recognition; Associative memory; associative recall; correlation matrix memory; iteratively formed associations; projection matrices;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1979.1675226