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A note on simultaneously diagonalizable matrices
| Content Provider | Semantic Scholar |
|---|---|
| Author | Berman, Abraham Plemmons, Robert J. |
| Copyright Year | 1998 |
| Abstract | Consider the functional f (U) = ∑n i=1 maxj{(UMjU)ii} over orthogonal matrices U , where the collection of n -byn symmetric matrices Mj are pairwise commutative, and thus simultaneously diagonalizable. Selecting an orthogonal matrix U which maximizes f (U) has applications in adaptive optics. A proof is given here that any orthogonal matrix Q which simultaneously diagonalizes the Mj maximizes the function f . Mathematics subject classification (1991): 15A27, 15A45, 15A51, 15A90. |
| Starting Page | 149 |
| Ending Page | 152 |
| Page Count | 4 |
| File Format | PDF HTM / HTML |
| DOI | 10.7153/mia-01-13 |
| Alternate Webpage(s) | http://files.ele-math.com/abstracts/mia-01-13-abs.pdf |
| Alternate Webpage(s) | https://doi.org/10.7153/mia-01-13 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
