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Fiedler, Miroslav ; Pták, Vlastimil
On matrices with non-positive off-diagonal elements and positive principal minors. (English). Czechoslovak Mathematical Journal, vol. 12 (1962), issue 3, pp. 382-400
MSC: 15.60 | MR 0142565 | Zbl 0131.24806 | DOI: 10.21136/CMJ.1962.100526
References:
[1] K. Fan: Topological proofs for certain theorems on matrices with non-negative elements. Monatsh. Math. 62 (1958), 219-237. DOI 10.1007/BF01303967 | MR 0095856 | Zbl 0081.25104
[2] K. Fan: Note on M-matrices. Quart. J. Math. 11 (1960), 43-49. DOI 10.1093/qmath/11.1.43 | MR 0117242 | Zbl 0104.01203
[3] K. 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. NBS Appl. Math. Ser. 39, 117-130. MR 0064732
[4] K. Fan A. S. Householder: A note concerning positive matrices and M-matrices. Monatshefte Math. 63 (1959), 265-270. DOI 10.1007/BF01295199 | MR 0105423
[5] Д. M. Коmелянскш: Оценки для определителей матриц с преобладающей главной диагональю. ИАН, сер. матем., 20 (1956), 137-144. MR 0075917 | Zbl 0995.90520
[6] А. Ostrowski: Determinanten mit überwiegender Hauptdiagonale und die absolute Konvergenz von linearen Iterationsprozessen. Commentarii Math. Helv. 3° (1956), 175 - 210. DOI 10.1007/BF02564340 | MR 0076433 | Zbl 0072.13803
[7] R. S. Varga: On a lemma of Stieltjes on matrices. Westinghouse Technical Report WAPD-T-566.
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