Question

If the factor U in the LU-decomposition of A is known, what is the algorithm for...

If the factor U in the LU-decomposition of A is known, what is the algorithm for calculating L?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
If A has an LU decomposition, does A invertible. give an example.
If A has an LU decomposition, does A invertible. give an example.
Determine the order of complexity for the following algorithm: function(int n) { int l, u, m;...
Determine the order of complexity for the following algorithm: function(int n) { int l, u, m;    l=0; u= n-1;    while (l<u) {        m= (l+u)/2;        if (a[m] < x) l= m+1;        else if (a[m] >x) u=m-1;            else return “found”    }    return (“not found”); }
This is LU deposition code of matlab. What's wrong with this code.... Thank you n and...
This is LU deposition code of matlab. What's wrong with this code.... Thank you n and B was given from above, what is for i = 1:n U(1,i) = A(1,i); L(i,1) = A(i,1)/U(1,1); %u(1,1)=1 end for j = 2:n for k = j:n U(j,k) = A(j,k)-L(j,1:j-1)*U(1:j-1,k); L(k,j) = (A(k,j)-L(k,1:j-1)*U(1:j-1,j))/U(j,j); end end for i = 1:n x(i) = B(i) / L(i,i:n)*U(i:n,i); end fprintf("Ans x = \n"); fprintf("%f \n", x);
Find the greatest common factor applying Euclidean Algorithm: 29448, 59220
Find the greatest common factor applying Euclidean Algorithm: 29448, 59220
The average starting salary for this year's graduates at a large university (LU) is $20,000 with...
The average starting salary for this year's graduates at a large university (LU) is $20,000 with a standard deviation of $8,000. Furthermore, it is known that the starting salaries are normally distributed. a. What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400? b. What is the probability that a randomly selected LU graduate will have a salary of exactly $30,400?    c. Individuals with starting salaries of less than $15600...
A triangular matrix is called unit triangular if it is square and every main diagonal element...
A triangular matrix is called unit triangular if it is square and every main diagonal element is a 1. (a) If A can be carried by the gaussian algorithm to row-echelon form using no row interchanges, show that A = LU where L is unit lower triangular and U is upper triangular. (b) Show that the factorization in (a) is unique.
2. The average starting salary for this year's graduates at a large university (LU) is $50,000...
2. The average starting salary for this year's graduates at a large university (LU) is $50,000 with a standard deviation of $10,000. Furthermore, it is known that the starting salaries are normally distributed. a. What is the probability that a randomly selected LU graduate will have a starting salary of at least $45,000? b. Individuals with starting salaries of less than $36,900 receive a low income tax break. What percentage of the graduates will receive the tax break? c. What...
5. The average starting salary for this year's graduates at a large university (LU) is $20,000...
5. The average starting salary for this year's graduates at a large university (LU) is $20,000 with a standard deviation of $8,000 Furthermore, it is known that starting salaries are normally distributed. a. What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400? b.What is the probability that a randomly that a randomly selected LU graduate will have a salary of exactly $30,400? c.Individual with starting salaries of less than $15,600...
The activation energy for the decomposition of hydrogen peroxide is 55.0 kJ/mol. When the reaction is...
The activation energy for the decomposition of hydrogen peroxide is 55.0 kJ/mol. When the reaction is catalyzed by the enzyme catalase, it is 11.00 kJ/mol. 2H2O2(aq) → 2H2O(l) + O2(g) Calculate the temperature that would cause the nonenzymatic catalysis to proceed as rapidly as the enzyme-catalyzed decomposition at 20.0°C. Assume the frequency factor, A, to be the same in both cases. Report your answer to 3 significant figures.
Consider the proposed matrix factorization: A = LS, where L is lower triangular with 1’s on...
Consider the proposed matrix factorization: A = LS, where L is lower triangular with 1’s on the diagonal, and S is symmetric. (a) Show how the LU decomposition can be used to derive this factorization. (b) What conditions must A satisfy for this factorization to exist?