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Determine for a single iteration of the algorithm the following values for operation A marked in the code above (as a function of N): • number of bytes read from memory: Bytes

Determine for a single iteration of the algorithm the following values for operation A marked in the code above (as a function of N): • number of bytes read from memory: Bytes

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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In the listing below, you find a mathematical description of the conjugate gradient method (CG) as discussed in class. ro := b – Axo if ro is sufficiently small, then return x, as the result Po := ro k := 0 repeat A ak := B Xk+1 := Xg + ak Pk C rk+1 := rk - ak Apk if rk+1 is sufficiently small, then exit loop D Bk:= E Pk+1 := rk+1 + B«P* k := k +1 end repeat return xk+1 as the result We make the following assumptions for this task: • all data structures are stored as dense matrices/vectors • A is a N x N matrix of doubles • x, r, p are vectors of N doubles a, B are scalars of type double • N]is so large that all matrix elements must be read from the main memory Vectors and scalars fit into the processor cache and can therefore be ignored when computing the size of data transfers • The type double consumes 8 Byte in memory
Transcribed Image Text:In the listing below, you find a mathematical description of the conjugate gradient method (CG) as discussed in class. ro := b – Axo if ro is sufficiently small, then return x, as the result Po := ro k := 0 repeat A ak := B Xk+1 := Xg + ak Pk C rk+1 := rk - ak Apk if rk+1 is sufficiently small, then exit loop D Bk:= E Pk+1 := rk+1 + B«P* k := k +1 end repeat return xk+1 as the result We make the following assumptions for this task: • all data structures are stored as dense matrices/vectors • A is a N x N matrix of doubles • x, r, p are vectors of N doubles a, B are scalars of type double • N]is so large that all matrix elements must be read from the main memory Vectors and scalars fit into the processor cache and can therefore be ignored when computing the size of data transfers • The type double consumes 8 Byte in memory
Determine for a single iteration of the algorithm the following values for operation A marked in the code above (as a function of N): • number of bytes read from memory: Bytes • number of bytes written to memory: Bytes • number of floating-point operations performed: FLOPS FLOP • arithmetic intensity (where well-defined): Byte
Transcribed Image Text:Determine for a single iteration of the algorithm the following values for operation A marked in the code above (as a function of N): • number of bytes read from memory: Bytes • number of bytes written to memory: Bytes • number of floating-point operations performed: FLOPS FLOP • arithmetic intensity (where well-defined): Byte
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