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On the eigenvalues of a matrix with prescribed singular values
| Content Provider | Semantic Scholar |
|---|---|
| Author | Horn, Alfred |
| Copyright Year | 1954 |
| Abstract | The singular values of a matrix A (with complex elements) are the non-negative square roots of the eigenvalues of A *A, where A * is the conjugate transpose of A. Let us call a pair of n-tuples (X1, * * , An), (at, * , aC.) allowable if there exists an nth order matrix with eigenvalues '1, * * *, Xn and singular values a,, * * *, an. (Weyl [1 ] has proved that if (X1, * * , Xn), (a,, * * * , an) is allowable and if |
| Starting Page | 4 |
| Ending Page | 7 |
| Page Count | 4 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0002-9939-1954-0061573-6 |
| Alternate Webpage(s) | http://www.ams.org/journals/proc/1954-005-01/S0002-9939-1954-0061573-6/S0002-9939-1954-0061573-6.pdf |
| Alternate Webpage(s) | https://www.ams.org/journals/proc/1954-005-01/S0002-9939-1954-0061573-6/S0002-9939-1954-0061573-6.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/S0002-9939-1954-0061573-6 |
| Volume Number | 5 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
