Willoughby, R. A. The inverse M-matrix problem. (English) Zbl 0355.15006 Linear Algebra Appl. 18, 75-94 (1977). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 43 Documents MSC: 15A09 Theory of matrix inversion and generalized inverses PDFBibTeX XMLCite \textit{R. A. Willoughby}, Linear Algebra Appl. 18, 75--94 (1977; Zbl 0355.15006) Full Text: DOI References: [1] Anderson, R. S.; Bloomfield, P., A time series approach to numerical differentiation, Technometrices, 16, 69-75 (1974) · Zbl 0286.65012 [2] Cullum, Jane, Numerical differentiation and regularization, SIAM J. Numer. Anal., 8, 254-265 (1971) · Zbl 0224.65005 [3] Fiedler, M.; Ptak, V., On matrices with non-positive off-diagonal elements and positive principal minors, Czech. Math. J., 12, 382-400 (1962) · Zbl 0131.24806 [4] Fiedler, M.; Ptak, V.; Ptak, V., Diagonally dominant matrices, Czech. Math. J., 17, 420-433 (1967) · Zbl 0178.03402 [5] Leff, H. S., Correlation inequalities for coupled oscillators, J. Mathematical Phys., 12, 569-578 (1971) [6] Markham, T. L., Nonnegative matrices whose inverses are \(M\)-matrices, Proc. Am. Math. Soc., 36, 326-330 (1972) · Zbl 0281.15016 [7] Rust, B. W.; Burrus, W. R., Mathematical Programming and the Numerical Solution of Linear Equations (1972), Elsevier: Elsevier New York · Zbl 0248.65040 [8] Varga, R. S., Matrix Iterative Analysis (1962), Prentice-Hall: Prentice-Hall Englewood Cliffs, N.J · Zbl 0133.08602 [9] Varga, R. S., Minimal Gerschgorin sets for partitioned matrices, SIAM J. Numer. Anal., 7, 493-507 (1970) · Zbl 0221.15015 [10] Varga, R. S., On recurring theorems on diagonal dominance, Linear Algebra Appl., 13, 1-9 (1976) · Zbl 0336.15007 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.