Koliha, J. J. Convergent and stable operators and their generalization. (English) Zbl 0264.47016 J. Math. Anal. Appl. 43, 778-794 (1973). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 9 Documents MSC: 47A45 Canonical models for contractions and nonselfadjoint linear operators 47A50 Equations and inequalities involving linear operators, with vector unknowns × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Browder, F. E.; Petryshyn, W. V., The solution by iteration of linear functional equations in Banach spaces, Bull. Amer. Math. Soc., 72, 566-570 (1966) · Zbl 0138.08201 [2] Koliha, J. J., On the iterative solution of linear operator equations with selfadjoint operators, J. Austral. Math. Soc., 13, 241-255 (1972) · Zbl 0229.47008 [3] Ostrowski, A.; Schneider, H., Some theorems on the inertia of general matrices, J. Math. Anal. Appl., 4, 72-84 (1962) · Zbl 0112.01401 [4] Petryshyn, W. V., On general inverse and on the uniform convergence of (1 — βK)\(^n\) with application to iterative methods, J. Math. Anal. Appl., 26, 307-314 (1969) [5] Redheffer, R., Remarks on a paper of Taussky, J. Algebra, 2, 42-47 (1965) · Zbl 0166.03004 [6] Rota, G.-C, On models for linear operators, Commun. Pure Appl. Math., 18, 469-472 (1960) · Zbl 0097.31604 [7] Stein, P., Some general theorems on iterants, J. Res. Nat. Bur. Standards Sect. B, 48, 82-83 (1952) [8] Taussky, O., Matrices \(C\) with \(C^n\) → 0, J. Algebra, 1, 5-10 (1964) · Zbl 0126.02802 [9] Taylor, A. E., Introduction to Functional Analysis (1958), John Wiley: John Wiley New York · Zbl 0081.10202 [10] Williams, J. P., Similarity and the numerical range, J. Math. Anal. Appl., 26, 307-314 (1969) · Zbl 0157.21103 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.