Difference between revisions of "Polyadic.m"
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Creates an object of a polyadic class. | Creates an object of a polyadic class. | ||
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A polyadic is a matrix formed by a Kronecker product, with those products stored unopened. For example, | A polyadic is a matrix formed by a Kronecker product, with those products stored unopened. For example, | ||
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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. | 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. | ||
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| + | ==Syntax== | ||
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| + | p=polyadic(cores) | ||
==Parameters== | ==Parameters== | ||
Revision as of 19:01, 5 June 2026
Creates an object of a polyadic class.
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.
Syntax
p=polyadic(cores)
Parameters
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
