Name
Title | ||
|---|---|---|
Least-squares approximation by elements from matrix orbits achieved by gradient flows on compact lie groups |
Abstract | ||
|---|---|---|
Let S(A) denote the orbit of a complex or real matrix A under a certain equivalence relation such as unitary similarity, unitary equivalence, unitary congruences etc. Efficient gradient-flow algorithms are constructed to determine the best approximation of a given matrix A(0) by the sum of matrices in S(A(1)), ... , S(A(N)) in the sense of finding the Euclidean least-squares distance min {parallel to X(1) + ... + X(N) - A(0)parallel to : X(j) is an element of S(A(j)), j = 1, ... , N}. Connections of the results to different pure and applied areas are discussed. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1090/S0025-5718-2010-02450-0 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
Complex Hermitian matrices,real symmetric matrices,eigenvalues,singular values,gradient flows | Unitary perfect number,Matrix similarity,Equivalence relation,Combinatorics,Mathematical analysis,Circular ensemble,Matrix (mathematics),Unitary matrix,Complex Hadamard matrix,Unitary group,Mathematics | Journal |
Volume | Issue | ISSN |
80 | 275 | 0025-5718 |
Citations | PageRank | References |
7 | 0.59 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chi-Kwong Li | 1 | 313 | 29.81 |
| Yiu-Tung Poon | 2 | 12 | 2.82 |
| T Schulte-Herbrüggen | 3 | 7 | 1.60 |