|
|
|
|
Литература
|
|
| |
| 1. |
Калинина Е. А., “Общие собственные числа двух матриц”, Дальневост. матем. журн., 13:1 (2013), 52–60     [Kalinina E. A., “Common eigenvalues of two matrices”, Far Eastern Mathematical Journal, 13:1 (2013), 52–60 (In Russian)] |
| 2. |
Mailybaev A. A., “Computation of multiple eigenvalues and generalized eigenvectors for matrices dependent on parameters”, Numer. Linear Algebra Appl., 13 (2006), 419–436   |
| 3. |
Schucan T. H., Weidenmüller H. A., “Perturbation theory for the effective interaction in nuclei”, Ann. Physics, 76 (1973), 483–501 |
| 4. |
Karow M., “Eigenvalue condition numbers and a formula of Burke, Lewis and Overton”, Electron. J. Linear Algebra, 15 (2006), 143–153 |
| 5. |
Kressner D., Peláez M. J., Moro J., “Structured Hölder condition numbers for multiple eigenvalues”, SIAM J. Matrix Anal. Appl., 31:1 (2009), 175–201 |
| 6. |
Burke J. V., Lewis A. S., Overton M., “Optimization and pseudospectra, with applications to robust stability”, SIAM J. Matrix Anal. Appl., 25:1 (2003), 80–104 |
| 7. |
Jarlebring E., Kvaal S., Michiels W., “Computing all pairs $(\lambda;\mu)$ such that $\lambda$ is a double eigenvalue of $A+\mu B$”, SIAM J. Matrix Anal. Appl., 32 (2011), 902–927 |
| 8. |
Muhič A., Plestenjak B., “A method for computing all values $\lambda$ such that $A+\lambda B$ has a multiple eigenvalue”, Linear Algebra Appl., 440 (2014), 345–359 |
| 9. |
Фаддеев Д. К., Фаддеева В. Н., Вычислительные методы линейной алгебры, Физматгиз, М., 1960, 656 с. [Faddeev D. K., Faddeeva V. N., Numerical methods of linear algebra Moscow, GIFML Publ., 1960, 656 pp. (In Russian)] |
| 10. |
Littlewood D. E., The theory of group characters and matrix representations of groups, Oxford University Press, Oxford, 1950, 310 pp. |
| 11. |
Horn R. A., Johnson Ch. R., Topics in matrix analysis, Cambridge University Press, New York, 1991, 607 pp. |
| 12. |
MacDuffee C. C., The Theory of Matrices, Chelsea Publ. Company, New York, 1956, 110 pp. |
| 13. |
Фаддеев Д. К., Лекции по алгебре, Наука, М., 1984, 416 с. [Faddeev D. K., Lections in algebra, Nauka Publ., M., 1984, 416 pp. (In Russian)] |
| 14. |
Гантмахер Ф. Р., Теория матриц, пер. с англ., 2-е изд., Наука, М., 1966, 576 с.; Gantmacher F. R., Theory of matrices, v. 2, AMS Chelsea Publ. Company, Providence, RI, 1960, 276 pp. |
| 15. |
Strassen V., “Gaussian Elimination is not Optimal”, Numerische Mathematik, 13 (1969), 354–356 |
| 16. |
Уилкинсон Дж. Х., Алгебраическая проблема собственных значений, пер. с англ. В. В. Воеводина, В. Н. Фаддеевой, Наука, М., 1970, 564 с.; Wilkinson J. H., The algebraic eigenvalue problem, Clarendon Press, Oxford, 1965, 662 pp. |
