Remarks on inertia theorems for matrices
Czechoslovak Mathematical Journal, Tome 25 (1975) no. 4, pp. 556-561
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1975.101351
Classification : 65F15
@article{10_21136_CMJ_1975_101351,
     author = {Wimmer, Harald K. and Ziebur, Allen D.},
     title = {Remarks on inertia theorems for matrices},
     journal = {Czechoslovak Mathematical Journal},
     pages = {556--561},
     year = {1975},
     volume = {25},
     number = {4},
     doi = {10.21136/CMJ.1975.101351},
     mrnumber = {0398083},
     zbl = {0344.15008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1975.101351/}
}
TY  - JOUR
AU  - Wimmer, Harald K.
AU  - Ziebur, Allen D.
TI  - Remarks on inertia theorems for matrices
JO  - Czechoslovak Mathematical Journal
PY  - 1975
SP  - 556
EP  - 561
VL  - 25
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1975.101351/
DO  - 10.21136/CMJ.1975.101351
LA  - en
ID  - 10_21136_CMJ_1975_101351
ER  - 
%0 Journal Article
%A Wimmer, Harald K.
%A Ziebur, Allen D.
%T Remarks on inertia theorems for matrices
%J Czechoslovak Mathematical Journal
%D 1975
%P 556-561
%V 25
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1975.101351/
%R 10.21136/CMJ.1975.101351
%G en
%F 10_21136_CMJ_1975_101351
Wimmer, Harald K.; Ziebur, Allen D. Remarks on inertia theorems for matrices. Czechoslovak Mathematical Journal, Tome 25 (1975) no. 4, pp. 556-561. doi: 10.21136/CMJ.1975.101351

[1] D. Carlson, H. Schneider: Inertia theorems for matrices: The semidefinite case. J. Math. Anal. Appl. 6 (1963), 430-446. | DOI | MR | Zbl

[2] Ch.-T. Chen: A generalisation of the inertia theorem. SIAM J. Appl. Math. 25 (1973), 158-161. | DOI | MR

[3] R. D. Hill: Inertia theory for simultaneously triangulable complex matrices. Linear Algebra Appl. 2 (1969), 131-142. | DOI | MR | Zbl

[4] A. Ostrowski, H. Schneider: Some theorems on the inertia of general matrices. J. Math. Anal. Appl. 4 (1962), 72-84. | DOI | MR | Zbl

[5] R. A. Smith: Bounds for quadratic Lyapunov functions. J. Math. Anal. Appl. 12 (1965), 425-435. | DOI | MR | Zbl

[6] R. A. Smith: Matrix calculations for Lyapunov quadratic forms. J. Diff. Equations 2 (1966), 208-217. | DOI | MR

[7J O. Taussky: A generalization of a theorem by Lyapunov. J. Soc. Ind. Appl. Math. 9 (1961), 640-643. | MR

[8] O. Taussky: Matrices $C$ with $C\sp{n}\rightarrow 0$. J. Algebra / (1964), 5-10. | DOI | MR

[9] H. K. Wimmer: Inertia theorems for matrices, controllability and linear vibrations. Linear Algebra Appl. 8 (1974), 337-343. | DOI | MR | Zbl

[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. | DOI | MR | Zbl

[11] A. D. Ziebur: On determining the structure of A by analysing $e^At$. SIAM Review 12 (1970), 98-102. | MR

Cité par Sources :