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Question: Why the LinearAlgebra[NullSpace] command is slower than the deprecated linalg[kernel]?

Question:Why the LinearAlgebra[NullSpace] command is slower than the deprecated linalg[kernel]?

Steven_Huang 95 Maple
performance linearalgebra basis nullspace linalg
8 hours ago
0

I intend to use LinearAlgebra package to do some calculations. I want to compute the basis for large Matrices. My discovery is that the linalg[kernel] command, which the document claims is deprecated, could do such computation significantly faster than the LinearAlgebra[NullSpace] command. For a 200 x 500 large random matrix, linalg[kernel] clocked 33 secs, while the LinearAlgebra[NullSpace] takes 200 secs, as shown in the worksheet NullSpace_vs_kernel.mw.

I wanna know what makes the difference, or is there a misuse for LinearAlgebra[NullSpace].
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