Difference between revisions of "Polyadic.m"
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| − | {{DISPLAYTITLE:polyadic.m}} | + | {{DISPLAYTITLE:polyadic.m}} __NOTOC__ |
| − | Creates | + | Creates a polyadic object representing a matrix as a sum of unopened Kronecker products, for example a two-term object with cores {A,B,C} and {D,E} represents A(x)B(x)C + D(x)E; multiplicative actions can then be computed without expanding the Kronecker products, which can save orders of magnitude in CPU time. |
==Syntax== | ==Syntax== | ||
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p=polyadic(cores) | p=polyadic(cores) | ||
| − | == | + | ==Parameters== |
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cores - a cell array of cell arrays of matrices | cores - a cell array of cell arrays of matrices | ||
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==See also== | ==See also== | ||
| − | [[kronm.m]] | + | [[kronm.m]], [[ttclass.m]], [[Tensor_train_module]] |
''Version 2.1, authors: [[Ilya Kuprov]]'' | ''Version 2.1, authors: [[Ilya Kuprov]]'' | ||
Latest revision as of 19:39, 6 June 2026
Creates a polyadic object representing a matrix as a sum of unopened Kronecker products, for example a two-term object with cores {A,B,C} and {D,E} represents A(x)B(x)C + D(x)E; multiplicative actions can then be computed without expanding the Kronecker products, which 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
kronm.m, ttclass.m, Tensor_train_module
Version 2.1, authors: Ilya Kuprov
