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Questions on optimizing Mathematica code for higher performance. This may mean faster execution, lower memory usage or both. Not to be confused with mathematical optimization.

3 votes
2 answers
187 views

Time-efficient manipulation (zeroing) of expression

I have huge matrices in the form of mtx1 = {{24+24 FF[6,9] GG[5,10]+24 FF[7,8] GG[5,10]+24 FF[5,10] GG[6,9]+24 FF[6,9] GG[6,9]+24 FF[7,8] GG[6,9]+24 FF[5,10] GG[7,8]+24 FF[6,9] GG[7,8]+24 FF[7,8] GG[ …
Mario Krenn's user avatar
  • 2,192
2 votes
2 answers
188 views

Efficient Search for reverse element in List of Lists

I have a big list AllCycles with contains lists of non-repeating integers (and the first element is always the smallest). I want a function findReversePairs to find all pairs of Reverse lists. For ex …
Mario Krenn's user avatar
  • 2,192
4 votes
2 answers
224 views

Time-efficient creation of matrix

I have expressions like xx1=FF[1, 1] GG[1, 1] + FF[1, 1] GG[2, 2] + FF[2, 2] GG[2, 2] xx2=2*FF[1, 2] GG[1, 1] + FF[1, 1] GG[1, 2] + FF[2, 2] GG[2, 2] and I want to transform it to special matrices …
Mario Krenn's user avatar
  • 2,192
6 votes
5 answers
678 views

Check whether array has only constant entries?

I have an array arr with n entries. Now I want to check whether arr[[1]]==arr[[2]]&&arr[[2]]==arr[[3]]&&...arr[[n-1]]==arr[[n]] Of course I could use a for-loop, like arr = {0, 1, 0, 0}; IsConst …
Mario Krenn's user avatar
  • 2,192
2 votes
1 answer
205 views

Does ParallelTable work with Co-Processors?

I have programs which can not use CUDA (graphic cards), but can run perfectly in parallel using ParallelTable (mainly symbolic transformations). Now I wonder, whether ParallelTable works with co-proce …
Mario Krenn's user avatar
  • 2,192
1 vote
2 answers
142 views

Fast symbolic manipulation of expression with undefined function

I have an expression which consists of terms with undefined function calls a[n]: example = 1 - c^2 + c a[1] a[2] + 1/2 c^2 a[1]^2 a[2]^2 + c a[1] a[3] Now I want to transform each term with individ …
Mario Krenn's user avatar
  • 2,192
4 votes
1 answer
186 views

Speed-up calculation of Area of Polygons

I have a complicated polygon in the 2d plane, that is an RegionIntersection of RegionUnion of triangles. Finally, I want to calculate it's Area. Unfortunatly, the Area is really slow. I am not sure w …
Mario Krenn's user avatar
  • 2,192
7 votes
2 answers
231 views

Efficient Search for specific Terms in symbolic Expression

I have a large symbolic expression with six variables a,b,c,d,e,f per term, roughly like this: expr=a^2 b c d^2 + 1/2 a b (b + I d) e^3 - 1/8 I a (c + 1/2 I (c + I d))^2 (I b + 1/2 (c + I d)) e f I …
Mario Krenn's user avatar
  • 2,192