Hello, I'm trying to solve an equation of the form: Y = Y0 - ( Un.* (A*Y0) + Vn.*(Y0*Z) )*delta_t as efficiently as possible where Y0, Un, Vn, A, and Z are all square matrices of size on the order of 300 X 300 and delta_t is a constant. Would computing A2 = A*Y0 and Z2 = Y0*Z followed by Un2 = Un.*A2 and Vn2 = Vn.*Z2 in parallel speed-up the overall computation of Y? If so, what is the best way to do this (having access to the Parallel Computing Toolbox and a dual-core processor)? Is there another/better way? Or does MATLAB automatically/internally optimize efficiency of such a computation? Many thanks in advance...

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3/24/2011 10:51:04 AM

"Evan Ruzanski" wrote in message <imf7mo$ftb$1@fred.mathworks.com>... > Hello, > > I'm trying to solve an equation of the form: > > Y = Y0 - ( Un.* (A*Y0) + Vn.*(Y0*Z) )*delta_t > > as efficiently as possible where Y0, Un, Vn, A, and Z are all square matrices of size on the order of 300 X 300 and delta_t is a constant. Are you trying to "solve"? If yes what are known what are the unknowns? Or do you want simply to compute Y? Bruno

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3/24/2011 11:58:05 AM

"Bruno Luong" <b.luong@fogale.findmycountry> wrote in message <imfbkd$jlj$1@fred.mathworks.com>... > "Evan Ruzanski" wrote in message <imf7mo$ftb$1@fred.mathworks.com>... > > Hello, > > > > I'm trying to solve an equation of the form: > > > > Y = Y0 - ( Un.* (A*Y0) + Vn.*(Y0*Z) )*delta_t > > > > as efficiently as possible where Y0, Un, Vn, A, and Z are all square matrices of size on the order of 300 X 300 and delta_t is a constant. > > Are you trying to "solve"? If yes what are known what are the unknowns? > > Or do you want simply to compute Y? > > Bruno Sorry for the error in semantics...I'm trying to compute Y in the most efficient manner possible. Is breaking the problem into: Step 1. Solve A2 = A*Y0 and Z2 = Y0*Z in parallel Step 2. Solve Un2 = Un.*A2 and Vn2 = Vn.*Z2 in parallel Step 3. Solve Y = Y0 - (Un2 + Vn2)*dt faster/more efficient than Step 1. Solve Y = Y0 - ( Un.*(A*Y0) + Vn.*(Y0*Z) )*dt

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3/24/2011 6:07:05 PM