Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

The code below gives the algorithm for Gaussian Elimination with scaled partial pivoting. Below the code, summarize what each block in the code is doing

image text in transcribed

The code below gives the algorithm for Gaussian Elimination with scaled partial pivoting. Below the code, summarize what each block in the code is doing [] def GESPP(A,b): n=len(A) # number of rows of A m=len(A[1]) # number of cols of A 1=[@]*n S=[@]*n ###### Block 1 ##### for i in range(n): 1[i]=i smax = 0 for j in range(n): smax=max(smax, abs (A[i][5])]) s[i]=smax **#### Block 2 ##### for k in range(n-1): rmax=0 for i in range(k,n): r = abs(A[1[1]][k]/5[1[i]]) if r>rmax: rmax=r jui 1[k],[3)-1(31,1[k] for i in range(k+1,n): xmult = A[1[1]][k]/A[1[k]][k] #A[1[i]][k]=xmult for j in range(k+1,n): A[1[i]][j]=A[1[i]][j]-(xmult)*A[1[k]][j] b[1[i]]=b[1[1]]-(mult)* b[1[k]] ###### Block 3 ##### b[1[n-1]]=b[1[n-1]]/A[1 [n-1]] [n 1] for i in range(n-2,-1,-1): sum=b[1[1]] for j in range (i+1,n): Sum=sum-A[1[1]][j]*b[1[1]] b[1[i]]=sum/A[1[1]][i] ###### Block 4 ##### X=[@]*n for i in range(n): x[i]=b[1[1]] print(x) Below, summarize what each block of the code above is doing. Block 1: Block 2: Block 3: Block 4: Let 1 3 -4 A=2 -7 2 (1 -2 4 and let = [0,-3, 3] Then there is a unique solution to Az = b. Show you work below to find the solution 7 using Gaussian elimination with scaled partial pivoting Show work here In the code box below, check the result you got by hand using both NGE and GESPP codes. The code below gives the algorithm for Gaussian Elimination with scaled partial pivoting. Below the code, summarize what each block in the code is doing [] def GESPP(A,b): n=len(A) # number of rows of A m=len(A[1]) # number of cols of A 1=[@]*n S=[@]*n ###### Block 1 ##### for i in range(n): 1[i]=i smax = 0 for j in range(n): smax=max(smax, abs (A[i][5])]) s[i]=smax **#### Block 2 ##### for k in range(n-1): rmax=0 for i in range(k,n): r = abs(A[1[1]][k]/5[1[i]]) if r>rmax: rmax=r jui 1[k],[3)-1(31,1[k] for i in range(k+1,n): xmult = A[1[1]][k]/A[1[k]][k] #A[1[i]][k]=xmult for j in range(k+1,n): A[1[i]][j]=A[1[i]][j]-(xmult)*A[1[k]][j] b[1[i]]=b[1[1]]-(mult)* b[1[k]] ###### Block 3 ##### b[1[n-1]]=b[1[n-1]]/A[1 [n-1]] [n 1] for i in range(n-2,-1,-1): sum=b[1[1]] for j in range (i+1,n): Sum=sum-A[1[1]][j]*b[1[1]] b[1[i]]=sum/A[1[1]][i] ###### Block 4 ##### X=[@]*n for i in range(n): x[i]=b[1[1]] print(x) Below, summarize what each block of the code above is doing. Block 1: Block 2: Block 3: Block 4: Let 1 3 -4 A=2 -7 2 (1 -2 4 and let = [0,-3, 3] Then there is a unique solution to Az = b. Show you work below to find the solution 7 using Gaussian elimination with scaled partial pivoting Show work here In the code box below, check the result you got by hand using both NGE and GESPP codes

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Professional Microsoft SQL Server 2014 Administration

Authors: Adam Jorgensen, Bradley Ball

1st Edition

111885926X, 9781118859261

More Books

Students also viewed these Databases questions