is designing efficient and stable algorithms for finding the eigenvalues of a matrix. These eigenvalue algorithms may also find eigenvectors. Given an...
40 KB (4,863 words) - 04:41, 21 March 2024
numerical linear algebra, the Jacobi eigenvalue algorithm is an iterative method for the calculation of the eigenvalues and eigenvectors of a real symmetric...
24 KB (3,929 words) - 18:02, 27 May 2024
Divide-and-conquer eigenvalue algorithms are a class of eigenvalue algorithms for Hermitian or real symmetric matrices that have recently (circa 1990s)...
10 KB (1,846 words) - 16:33, 13 May 2024
linear algebra, the QR algorithm or QR iteration is an eigenvalue algorithm: that is, a procedure to calculate the eigenvalues and eigenvectors of a matrix...
18 KB (2,461 words) - 02:04, 10 October 2023
Eigendecomposition of a matrix (redirect from Eigenvalue decomposition)
is the eigenvalue. The above equation is called the eigenvalue equation or the eigenvalue problem. This yields an equation for the eigenvalues p ( λ )...
40 KB (5,581 words) - 20:02, 13 June 2024
Arnoldi iteration (redirect from Arnoldi's algorithm)
iteration is an eigenvalue algorithm and an important example of an iterative method. Arnoldi finds an approximation to the eigenvalues and eigenvectors...
13 KB (1,842 words) - 09:21, 30 May 2024
Eigenmoments Eigenvalue algorithm Quantum states Jordan normal form List of numerical-analysis software Nonlinear eigenproblem Normal eigenvalue Quadratic...
101 KB (13,540 words) - 23:50, 15 June 2024
List of numerical analysis topics (redirect from List of eigenvalue algorithms)
but not exactly, equal eigenvalues Convergent matrix — square matrix whose successive powers approach the zero matrix Algorithms for matrix multiplication:...
70 KB (8,344 words) - 02:48, 7 March 2024
In 1988, Ojalvo produced a more detailed history of this algorithm and an efficient eigenvalue error test. Input a Hermitian matrix A {\displaystyle A}...
43 KB (8,287 words) - 09:57, 15 May 2024
known as the power method) is an eigenvalue algorithm: given a diagonalizable matrix A {\displaystyle A} , the algorithm will produce a number λ {\displaystyle...
13 KB (2,497 words) - 01:35, 5 December 2023