On a lower bound for the rank of a partitioned square matrix
- Ky Fan and A. J. Hoffman, Lower bounds for the rank and location of the eigenvalues of a matrix, Contributions to the solution of systems of linear equations and the determination of eigenvalues, National Bureau of Standards Applied Mathematics Series No. 39, U. S. Government Printing Office, Washington, D.C., 1954, pp. 117–130. MR 0064732
- David G. Feingold and Richard S. Varga, Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem, Pacific J. Math. 12 (1962), 1241–1250. MR 151473
- A. S. Householder, The approximate solution of matrix problems, J. Assoc. Comput. Mach. 5 (1958), 205–243. MR 128607, DOI https://doi.org/10.1145/320932.320933
Ky Fan & A. J. Hoffman, “Lower bounds for the rank and location of the eigenvalues of a matrix,” Contributions to the Solution of Systems of Linear Equations and the Determination of Eigenvalues, edited by Olga Taussky, Nat. Bur. Standards. Appl. Math. Ser., v. 39, 1954, p. 117-130.
David G. Feingold & Richard S. Varga, “Block diagonally dominant matrices and generalizations of the Gerschgorin Circle Theorem,” Case Institute of Technology, Cleveland 6, Ohio, Report No. 1062, 1962.
A. S. Householder, “The approximate solution of matrix problems,” J. Assoc. Comput. Mach., v. 5, 1958, p. 205-243.
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