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Strassen algorithm

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Ramine

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Oct 30, 2014, 9:20:54 AM10/30/14
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Hello,

I am using the Strassen algorithm for matrix multiplication inside my
multiple linear regression solver, so what about its numerical stability ?


Read this:

"We begin by discussing Strassen-like algorithms, based on recursive
partitioning of matrices into the same number of blocks. We prove that
all such algorithms are stable"


Read the following paper:

http://www.cs.cornell.edu/~rdk/papers/matmul.pdf


Thank you,
Amine Moulay Ramdane.


Ramine

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Oct 30, 2014, 10:28:34 AM10/30/14
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Hello,

I am also using LU factorization to compute the inverse matrix inside my
multiple linear regression solver, so what about its numerical stability ?

Read this:

"The LU factorization is numerically stable in practice, and produces a
reasonable growth factor."

Read here on 3.1:

http://www.netlib.org/lapack/lawnspdf/lawn259.pdf


Amine Moulay Ramdane.
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