| Title:
|
Remarks on inertia theorems for matrices (English) |
| Author:
|
Wimmer, Harald K. |
| Author:
|
Ziebur, Allen D. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
25 |
| Issue:
|
4 |
| Year:
|
1975 |
| Pages:
|
556-561 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
65F15 |
| idZBL:
|
Zbl 0344.15008 |
| idMR:
|
MR0398083 |
| DOI:
|
10.21136/CMJ.1975.101351 |
| . |
| Date available:
|
2008-06-09T14:14:53Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101351 |
| . |
| Reference:
|
[1] D. Carlson, H. Schneider: Inertia theorems for matrices: The semidefinite case.J. Math. Anal. Appl. 6 (1963), 430-446. Zbl 0192.13402, MR 0148678, 10.1016/0022-247X(63)90023-4 |
| Reference:
|
[2] Ch.-T. Chen: A generalisation of the inertia theorem.SIAM J. Appl. Math. 25 (1973), 158-161. MR 0335534, 10.1137/0125020 |
| Reference:
|
[3] R. D. Hill: Inertia theory for simultaneously triangulable complex matrices.Linear Algebra Appl. 2 (1969), 131-142. Zbl 0186.33901, MR 0245596, 10.1016/0024-3795(69)90022-6 |
| Reference:
|
[4] A. Ostrowski, H. Schneider: Some theorems on the inertia of general matrices.J. Math. Anal. Appl. 4 (1962), 72-84. Zbl 0112.01401, MR 0142555, 10.1016/0022-247X(62)90030-6 |
| Reference:
|
[5] R. A. Smith: Bounds for quadratic Lyapunov functions.J. Math. Anal. Appl. 12 (1965), 425-435. Zbl 0135.29802, MR 0190475, 10.1016/0022-247X(65)90010-7 |
| Reference:
|
[6] R. A. Smith: Matrix calculations for Lyapunov quadratic forms.J. Diff. Equations 2 (1966), 208-217. MR 0188557, 10.1016/0022-0396(66)90044-1 |
| Reference:
|
[7J O. Taussky: A generalization of a theorem by Lyapunov.J. Soc. Ind. Appl. Math. 9 (1961), 640-643. MR 0133336 |
| Reference:
|
[8] O. Taussky: Matrices $C$ with $C\sp{n}\rightarrow 0$., J. Algebra / (1964), 5-10. MR 0161865, 10.1016/0024-3795(74)90060-3 |
| Reference:
|
[9] H. K. Wimmer: Inertia theorems for matrices, controllability and linear vibrations.Linear Algebra Appl. 8 (1974), 337-343. Zbl 0288.15015, MR 0394388, 10.1016/0024-3795(74)90024-X |
| Reference:
|
[10] H. K. Wimmer: An inertia theorem for tridiagonal matrices and a criterion of Wall on continued fractions.Linear Algebra Appl. 9 (1974), 41 - 44. Zbl 0294.15009, MR 0360632, 10.1137/1012005 |
| Reference:
|
[11] A. D. Ziebur: On determining the structure of A by analysing $e^At$.SIAM Review 12 (1970), 98-102. MR 0254074 |
| . |
