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Matrices provide a convenient mech manage large amounts of data. Ord natrix multiplication is O(n3). With v natrices, even shaving a small amo cost can still give you a worthwhile avings. The following reference is a example of using matrix multiplicati mplement Strassen's Algorithms in

Matrices provide a convenient mech manage large amounts of data. Ord natrix multiplication is O(n3). With v natrices, even shaving a small amo cost can still give you a worthwhile avings. The following reference is a example of using matrix multiplicati mplement Strassen's Algorithms in

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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Matrices provide a convenient mechanism to manage large amounts of data. Ordinary matrix multiplication is O(n3). With very large matrices, even shaving a small amount off the cost can still give you a worthwhile cost savings. The following reference is an example of using matrix multiplication. Implement Strassen's Algorithms in CLRS Chapter 4.2 using Python Or Java. It is only necessary to handle matrices where the size is a power of two. Implement ordinary multiplication and compare your results. Count individual multiplications to use as a basis for comparison. If you want to try timing, please do it in addition to, not instead of counting comparisons. A file with required input is provided. All input you create should be formatted the same: the first line should contain the order of the matrix, then the first matrix, in row major order, then the second matrix. This is followed by a blank line, then the order of the next matrix pair and so on. You need to collect enough data to have a meaningful comparison of the theoretical efficiency to the observed efficiency. Describe the time and space complexity as well. What is the theoretical efficiency compared to observed efficiency? Also include a table and graph showing observations with respect to asymptotic efficiency. Required Input 21 67 15 43 S 3214 -1 2-1 0 1201 3-1 02 2 3-1-2 4 0-3 1 5110 0212 C 10120-1-1-1 Calculate the square of this one. -1 1-1 1-1 023 2 3-1 0-1 0-1 0 12210112 3-10222 2-2 1-3 3 012
Transcribed Image Text:Matrices provide a convenient mechanism to manage large amounts of data. Ordinary matrix multiplication is O(n3). With very large matrices, even shaving a small amount off the cost can still give you a worthwhile cost savings. The following reference is an example of using matrix multiplication. Implement Strassen's Algorithms in CLRS Chapter 4.2 using Python Or Java. It is only necessary to handle matrices where the size is a power of two. Implement ordinary multiplication and compare your results. Count individual multiplications to use as a basis for comparison. If you want to try timing, please do it in addition to, not instead of counting comparisons. A file with required input is provided. All input you create should be formatted the same: the first line should contain the order of the matrix, then the first matrix, in row major order, then the second matrix. This is followed by a blank line, then the order of the next matrix pair and so on. You need to collect enough data to have a meaningful comparison of the theoretical efficiency to the observed efficiency. Describe the time and space complexity as well. What is the theoretical efficiency compared to observed efficiency? Also include a table and graph showing observations with respect to asymptotic efficiency. Required Input 21 67 15 43 S 3214 -1 2-1 0 1201 3-1 02 2 3-1-2 4 0-3 1 5110 0212 C 10120-1-1-1 Calculate the square of this one. -1 1-1 1-1 023 2 3-1 0-1 0-1 0 12210112 3-10222 2-2 1-3 3 012
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