|
|
|
|
Литература
|
|
| |
| 1. |
Л. Ю. Колотилина, “Некоторые новые классы невырожденных матриц и верхние оценки для их обратных”, Зап. научн. семин. ПОМИ, 482, 2019, 184–200 |
| 2. |
Л. Ю. Колотилина, “Верхние оцнки для $\|A^{-1}Q\|_\infty$”, Зап. научн. семин. ПОМИ, 514, 2022, 77–87 |
| 3. |
J. H. Ahlberg, E. N. Nilson, “Convergence properties of the spline fit”, J. Soc. Ind. Appl. Math., 11 (1963), 95–104 |
| 4. |
L. Cvetković, M. Erić, J. M. Peña, “Eventually SDD matrices and eigenvalue localization”, Appl. Math. Comput., 252 (2015), 535–540 |
| 5. |
V. R. Kostić, L. Cvetković, D. I. Cvetković, “Pseudospectra localization and their applications”, Numer. Linear Algebra Appl., 23 (2016), 356–372 |
| 6. |
Y. Li, Y. Wang, “Schur complement-based infinity norm bounds for the inverse of GDSDD matrices”, Mathematics, 10 (2022), 186 |
| 7. |
J. Liu, J. Zhang, Y. Liu, “The Schur complement of strictly doubly diagonally dominant matrices and its application”, Linear Algebra Appl., 437 (2012), 168–183 |
| 8. |
A. Melman, “Ovals of Cassini for Toeplitz matrices”, Linear Multilinear Algebra, 60 (2012), 189–199 |
| 9. |
S. Z. Pan, S. C. Chen, “An upper bound for $\|A^{-1} \|_\infty$ of strictly doubly diagonally dominant matrices”, J. Fuzhou Univ. Nat. Sci. Ed., 36 (2008), 639–642 (in Chinese) |
| 10. |
C. Sang, “Schur complement-based infinity norm bounds for the inverse of $DSDD$ matrices”, Bull. Iran. Math. Soc., 47 (2020), 1379–1398 |
| 11. |
C. Sang, J. X. Zhao, “Eventually DSDD matrices and eigenvalue localization”, Symmetry, 448:10 (2018) |
| 12. |
J. M. Varah, “A lower bound for the smallest singular value of a matrix”, Linear Algebra Appl., 11 (1975), 3–5 |
| 13. |
X. R. Yong, “Two properties of diagonally dominant matrices”, Numer. Linear Algebra, 3 (1996), 173–177 |