Difference between revisions of "Polyadic.m"
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''Version 2.1, authors: [[Ilya Kuprov]]'' | ''Version 2.1, authors: [[Ilya Kuprov]]'' | ||
Revision as of 12:28, 25 April 2026
Creates an object of a polyadic class.
Syntax
p=polyadic(cores)
Description
A polyadic is a matrix formed by a Kronecker product, with those products stored unopened. For example,
cores={{A,B,C},{D,E}}
corresponds to A(x)B(x)C + D(x)E matrix. Any multiplicative action by this matrix may be computed without opening the Kronecker products. This can save orders of magnitude in CPU time.
Arguments
cores - a cell array of cell arrays of matrices
whose Konecker products make up the mat-
rix of interest.
Outputs
p - a polyadic representation of a matrix
that behaves in many respects like the
matrix it represents.
Notes
Nested polyadics are permitted - the input matrices may be polyadics themselves.
See also
Version 2.1, authors: Ilya Kuprov