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Trial software. You are now following this question You will see updates in your activity feed. You may receive emails, depending on your notification preferences. Tridiagonal matrix thomas algorithm. Mehmet on 11 Mar Vote 0.
Commented: Mohammad Gohardoust on 1 Mar Accepted Answer: John D'Errico. Accepted Answer.I am trying to vectorize the creation of the tridiagonal matrix using the following to replace the for-loop:. Is it possible to create such a matrix using vectorization instead of a for-loop?
I will eventually need to create a much larger and more complicated tridiagonal matrix thus hoping to use vectorization to speed up the process.
I suppose you could also use diag. A problem is that we have done many additions in this composition, and most of the adds are zeros. Another reason to dislike this solution is because it generates a full matrix. I don't advise it in general, but it is a nice, visually intuitive solution. By the way, I just noticed that the help for diag shows exactly this solution to create a tridiagonal matrix.Paladins link account ps4
A far better choice is to learn to use sparse matrices. Use that capability. To do so, learn how to use spdiags, or at the very least, learn about sparse. Let us build A as a sparse tridiagonal matrix. I'll use a larger value of m so we can see the savings. The real benefit will come when you start to use these arrays in sparse form. For example, use backslash:. It is really designed to generate block tridiagonal arrays, but it will work on this problem too, since we just have scalar blocks.
Finally, as natan points out, if your goal is a full matrix, then the function full will do that, given sparse matrix input. However, in many cases, the sparse form will be a great benefit. Learn to use sparse matrices. You will be happy that you did. Related Articles Exits a for loop that creates divs after reaching the end of the screen I am trying to complete a little exercise that refreshes the page when the big button in the middle is clicked and the little dots change colour.
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Is there some easy way I can do this? It depends how you structured it. In general, instances don't have a re.Sign in to comment. Sign in to answer this question. Unable to complete the action because of changes made to the page. Reload the page to see its updated state. Choose a web site to get translated content where available and see local events and offers.
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You are now following this question You will see updates in your activity feed. You may receive emails, depending on your notification preferences. Creating a tridiagonal matrix. Aaron Atkinson on 11 Nov Vote 0. Accepted Answer: Stephen Cobeldick. My teacher has said that the best way to go about it is using loops, but is there a coded in function to use?
Stack Overflow for Teams is a private, secure spot for you and your coworkers to find and share information. Which has 2's on the diagonal except at first and last element of the diagonal and -1 on the two adjacent diagonals.
This was a 6x6 examples and I'd like to generate in Matlab nxn one as quick and as efficient as possible. I tried with the built-in function kron but couldn't get away with it. Whether this version or the version using gallery see Sam Roberts' answer is faster seems to depend on the size of the matrix. For larger matrices it is faster to use gallery. Learn more.
Tridiagonal Matrix in Matlab Ask Question. Asked 5 years, 11 months ago. Active 2 years ago. Viewed 5k times. Anyone know a quick efficient way in matlab to build the following square matrix 1 -1 0 0 0 0 -1 2 -1 0 0 0 0 -1 2 -1 0 0 0 0 -1 2 -1 0 0 0 0 -1 2 -1 0 0 0 0 -1 1 Which has 2's on the diagonal except at first and last element of the diagonal and -1 on the two adjacent diagonals.
Thansk a lot. Check the answers here. Naveh, that's not exactly the same request though I know, just thought it could be useful. It's not a duplicate. Active Oldest Votes. Chris Taylor Chris Taylor Sam Roberts Sam Roberts Luis Mendo Luis Mendo k 12 12 gold badges 61 61 silver badges bronze badges.
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. How can I create a tridiagonal matrix that I can use for Crout factorization? And, I don't have any codes on how to create one since I am new to matlab. I am all confused figuring this out. Sign up to join this community.
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Asked 5 years, 11 months ago. Active 1 year, 5 months ago. Viewed 82k times. Active Oldest Votes. Franck Dernoncourt Franck Dernoncourt 1, 2 2 gold badges 11 11 silver badges 30 30 bronze badges. And, I can also perform Crout factorization on that and get L and U? Rmth Apr 22 '14 at Peeter Joot Peeter Joot 6 6 silver badges 13 13 bronze badges.
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Vectorize the loop that creates a tridiagonal matrix to Matlab
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Tridiagonal matrix (thomas algorithm)
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