Input : Matrix A = [aij]ïi,j=1 € Rn×n. Output: LU factorization of A stored in for j = 1,...,n do for k = 1,..., j - 1 do for i=k+1,..., n do | aij = aij - aikakj — for k=j+1,..., n do | akj akj = akj/ajj return A
Input : Matrix A = [aij]ïi,j=1 € Rn×n. Output: LU factorization of A stored in for j = 1,...,n do for k = 1,..., j - 1 do for i=k+1,..., n do | aij = aij - aikakj — for k=j+1,..., n do | akj akj = akj/ajj return A
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...
Related questions
Question
Determine the total number of flops for each algorithm . Include the number of flops per line aside from the computation of whole number of flop.
follow the sample below
Transcribed Image Text:Algorithm 4 (Row-oriented forwards substitution) Given L E Cnxn (assumed lower
triangular) and be Cr, we overwrite b with the solution to Ly = b:
1: procedure FORWARDSUB(L, b)
2:
for i= 1,...,n do
3:
for j = 1,..., i - 1 do
bi bilij bj
4:
5:
end for
6:
bi
bi/li,i
7:
end for
Sample
8: end procedure
The flop count for this algorithm is slightly less trivial to compute:
n
Σ(Σ)-Σ(Σω)
² ((1)) = 2 Σ(i-1) = 2 (2₁-
--n) = n tn - 2n = n -n=0(n).
(Σ-Σ
i=1
i=1
n(n+1)
= 2
+
2
![n
Input : Matrix A = [aij]ij=1 € Rnxn
Output: LU factorization of A stored in A.
1 for j = 1,...,n do
2
for k= 1,..., j - 1 do
3
|
for i=k+1,..., n do
| aij =
Aij ai ka kj
4
-
5
for k=j+1,...,n do
akj = akj/ajj
6
7 return A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc8ca1f5-10b5-4e76-9ca1-9785bb9dcba6%2F8456253f-c750-4406-9679-a2ce8fed7b9e%2Fameryg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:n
Input : Matrix A = [aij]ij=1 € Rnxn
Output: LU factorization of A stored in A.
1 for j = 1,...,n do
2
for k= 1,..., j - 1 do
3
|
for i=k+1,..., n do
| aij =
Aij ai ka kj
4
-
5
for k=j+1,...,n do
akj = akj/ajj
6
7 return A
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY