Kronecker product: Difference between revisions
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imported>Maxima enthusiast No edit summary |
imported>Maxima enthusiast |
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/* Kronecker product implementation */ |
/* Kronecker product implementation */ |
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alternative_kronecker(MatA,MatB):=block(auxlength:length(first(args(MatA))),makelist(i*args(MatB),i,flatten(args(MatA))), |
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/* input: lists of lists trivially convertible to matrices */ |
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makelist(apply(matrix,%%[i]),i,1,length(%%)), |
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my_kronecker(Alist,Blist):=block(auxlength1:length(first(Alist)),auxlength2:length(first(Blist)),L:makelist(i*Blist,i,flatten(Alist)), |
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lst_equally_subdivided(%%,auxlength), |
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L1:makelist(auxkron(j,L),j,1,auxlength1),L2:makelist(lst_equally_subdivided(L1[i],auxlength1),i,1,length(L1)),makelist(auxkron(j,L2),j,1,auxlength1), |
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makelist(map(args,%%[i]),i,1,length(%%)), |
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flatten(%%),lst_equally_subdivided(%%,auxlength1*auxlength2),apply(matrix,%%)); |
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makelist(auxkron(j,%%),j,1,auxlength), |
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makelist(apply(append,%%[i]),i,1,length(%%)), |
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apply(matrix,%%), |
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transpose(%%), |
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args(%%), |
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makelist(apply(append,%%[i]),i,1,length(%%)), |
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apply(matrix,%%)); |
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</syntaxhighlight> |
</syntaxhighlight> |
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{{out}}<pre> |
{{out}}<pre> |
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D:matrix([0,5],[6,7])$ |
D:matrix([0,5],[6,7])$ |
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alternative_kronecker(A,B); |
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my_kronecker(args(A),args(B)); |
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/* matrix( |
/* matrix( |
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[0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0], |
[0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0], |
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) */ |
) */ |
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alternative_kronecker(C,D); |
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my_kronecker(args(C),args(D)); |
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/* matrix( |
/* matrix( |
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[0, 5, 0, 10], |
[0, 5, 0, 10], |
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