LU 분해

노트

위키데이터

• ID : Q833089

말뭉치

1. """Performs an LU Decomposition of A (which must be square) into PA = LU.
2. LU Decomposition Structure to access L, U and piv.
3. For generic square matrices, the backslash operator computes the solution of the linear system using LU decomposition.
4. To recreate the answer computed by backslash, compute the LU decomposition of A .
5. LU decomposition method, based on the Gaussian elimination, is particularly well suited for spars and large-scale problems.
6. The main contribution of this paper is in utlizing this solution to implement LU decomposition technique on the basic DEA models which is more accurate and numerically stable.
7. The major steps required to solve an equation system by LU decomposition are as follows.
8. We now illustrate the LU decomposition process by solving (2.10) with p = 1 .
9. LU decomposition can be viewed as the matrix form of Gaussian elimination.
10. Computers usually solve square systems of linear equations using LU decomposition, and it is also a key step when inverting a matrix or computing the determinant of a matrix.
11. Therefore, to find the unique LU decomposition, it is necessary to put some restriction on L and U matrices.
12. Computing an LU decomposition using this algorithm requires 2 3 n 3 {\displaystyle {\tfrac {2}{3}}n^{3}} floating-point operations, ignoring lower-order terms.
13. The bookkeeping exercise really did give us an LU decomposition.
14. ’s scheme, we propose a novel bilateral authentication scheme with user anonymity using LU decomposition of matrices.
15. From the matrix theory, LU decomposition factorizes a matrix as the product of a lower triangular matrix and an upper triangular matrix.
16. Let be a square matrix; an LU decomposition of matrix is the form , where is a lower triangular matrix and is an upper triangular matrix.
17. We can introduce the LU decomposition into the user authentication system to ensure the security of the system.
18. This function performs an LU decomposition of the given square matrix argument the results are returned in a list of named components.
19. Computers usually solve square systems of linear equations using the LU decomposition, and it is also a key step when inverting a matrix, or computing the determinant of a matrix.
20. Code that performs LU decomposition is shown below.
21. This app performs LU decomposition of a square matrix and will solve a set of linear inhomogeneous equations.
22. When f is changed the last steps can be done without recomputing the LU decomposition.
23. Solution algorithms are most efficient if these patterns are taken into account in the LU decomposition.
24. The LU decomposition may not exist for a matrix .
25. If the LU decomposition exists then it is unique.
26. The LU decomposition provides an efficient means of solving linear equations.
27. The reason that has all diagonal entries set to 1 is that this means the LU decomposition is unique.
28. The principles of LU decomposition are described in most numerical methods texts.
29. These compact schemes are meant to perform all operations in-place so that the matrix A is overwritten by the desired LU decomposition.
30. rarely discuss the various LU decomposition options such as Crout, Doolittle and Cholesky A single-file code that implements and tests these methods can be downloaded here.
31. Today we are going to do an LU decomposition problem.
32. Now, what do you have to remember when doing an LU decomposition problem?
33. But we're not just doing elimination, we're finding an LU decomposition.
34. You can't find an LU decomposition if you have to do a row exchange in elimination.
35. The system to be solved is, and the solution is found using LU decomposition of the matrix .

메타데이터

위키데이터

• ID : Q833089