How To Do Matrix Multiplication In Julia
Julia N 30000. A trivial implementation follows.
Matrix Multiplication Api Issue 23919 Julialang Julia Github
For the kind of work I am doing I think dynamic reduction in the number of thread would be a good idea.
How to do matrix multiplication in julia. 32im 92im 87im 46im julia B zerosComplexInt64 2 2 22 MatrixComplexInt64. Julia vx printlnx. Andreasnoack added a commit that referenced this issue on Feb 24 2018.
Using PyPlot using PyCall pyimport matplotlibpatches as patch cfig figure ax cfig add_subplot 111 ax set_aspect equal c patchCircle 050504fcblueecredlinewidth5zorder0. Function vonNeumann HamiltonianinitialMatrixt timeEvo expm -1im Hamiltonian. X v generic function with 1 method julia v1 v2 v1 v2.
65791 ms 2 allocations. Julia x 33 MatrixInt64. 00im 00im 00im 00im julia transposeB A.
Y A x a b JuliaLang23919 9db2a59. -55 35 63 creates the 2 3 matrix A 2 4 82 55 35 63 I spaces separate entries in a row. Julia y x.
A sprandN N 250N. I matrices in Julia are repersented by 2D arrays I to create the 2 3 matrix A 2 4 82 55 35 63 use A 2 -4 82. If C A B is the product of matrices A and B then C i j is the dot product of the i th row of A with the j th column of B.
Julia 16 These methods require Julia. Julia x collectreshape19 3 3 33 MatrixInt64. Julia x3 40.
Julia B 22 MatrixComplexInt64. A sprandN N 1000N. T finalMatrix timeEvo initialMatrix conj timeEvo return finalMatrix end.
Often we do many matrix operations on small or very rectangular matrices. Combined multiply-add Ay z for matrix-matrix or matrix-vector multiplication. Matrices I matrices in Julia are repersented by 2D arrays I 2 -4 82.
Julia x 4-element VectorFloat64. The timing is now comparable to the pure Julia implementation with exported multiplication. Spaces delimit entries in a row I sizeA returns the size of A as a pair ie A_rows A_cols sizeA or A_size sizeA.
Im still a little shaky on the syntax in Julia for setting all the options for the plot. A sprandN N 100N. Standard Matrix Multiplication The first algorithm well implement is straightforward matrix multiplication like you learned in high school.
7787 ms 2 allocations. Y A x a b in SparseArraysjl 23919 26117. Julia x12 12 -1 -4.
32im 87im 92im 46im julia A 22 MatrixComplexInt64. -55 35 63 I semicolons delimit rows. When I look at the profiler output it seems that most of the time is spent doing the matrix multiplication.
32im 92im 87im 46im. 23445 KiB julia btime B x. The result is always the same size as Ay but z may be smaller or a scalar.
Julia btime A x. Julia y 4-element VectorFloat64-11 00 40 The assignment to x3 also changed y3-72 julia y1 20. 23445 KiB julia btime B x.
87im 46im 22 MatrixComplexInt64. Julia A 32im 92im. 77542 ms 2 allocations.
Julia btime A x. 1 4 7 2 5 8 3 6 9 julia x3 3 -9. 23445 KiB julia N 30000.
8688 ms 2 allocations. 23445 KiB julia N 30000. α A x β y - mul.
-1 -4 7 -2 -5 8 3 6 -9 Supported index types. α A x β y - mul. Semicolons separate rows I sizeA returns the size of A as a pair ie A_rows A_cols sizeA or A_rows is sizeA1 A_cols is sizeA2 I row vectors are 1 nmatrices eg 4 87 -9 2.
Dlfivefifty mentioned this issue on Feb 19 2018.
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