Homework Help is Here – Start Your Trial Now!
Engineering
Computer Science
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 3214 12-10 1201 3-102 23-1-2 -4 0-3 1 5110 0212 10120-1-1-1 Calculate the square of this one. 28 12 O C 3-1 2-2 1 2

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 3214 12-10 1201 3-102 23-1-2 -4 0-3 1 5110 0212 10120-1-1-1 Calculate the square of this one. 28 12 O C 3-1 2-2 1 2

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
See similar textbooks
icon
Related questions
Question

 

. 

 

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
Expert Solution
steps

Step by step

Solved in 4 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Arrays
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS