References
Fiedler, M., andV. Pták: Estimates and iteration procedures for proper values of almost decomposable matrices. Czechoslovak Math. J.89, 593–608 (1964).
Johnston, R. L.: Block generalizations of some Gerschgorin-type theorems. Doctoral Thesis, Case Institute of Technology, 1965.
Levinger, B. W., andR. S. Varga: Minimal Gerschgorin sets II. Pacific J. Math.17, 199–210 (1966).
—— ——, andR. S. Varga On a problem of O.TAussky. Pacific J. Math.19, 473–487 (1966).
Medley, H. I., andR. S. Varga: On smallest isolated Gerschgorin disks for eigenvalues II.11, 320–323 (1968).
-- Some generalizations concerning isolated Gerschgorin disks. Doctoral Thesis, Case Institute of Technology, 1967.
Orstrowski, A. M.: Über die Determinanten mit ii berwiegender Hauptdiagonale. Comment. Math. Helv.10, 69–96 (1937).
Taussky, O.: Bounds for characteristic roots of matrices. Duke Math. J.15, 1043–1044 (1948).
Todd, J.: On smallest isolated Gerschgorin disks for eigenvalues. Numer. Math.7, 171–175 (1965).
Varga, R. S.: Matrix iterative analysis. Englewood Cliffs, N. J.: Prentice-Hall 1962.
——: On smallest isolated Gerschgorin disks for eigenvalues. Numer. Math.6, 366–376 (1964).
——. Minimal Gerschgorin sets. Pacific J. Math.15, 719–729 (1965).
Elsner, L.: Minimale Gerschgorin-Kreise. ZAMM48, 51–56 (1968).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Medley, H.I., Varga, R.S. On smallest isolated gerschgorin disks for eigenvalues. III. Numer. Math. 11, 361–369 (1968). https://doi.org/10.1007/BF02161884
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02161884