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On the square roots of strictly quasiaccretive complex matrices. (English) Zbl 0418.15012


MSC:

15A24 Matrix equations and identities
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[1] DePrima, C. R.; Johnson, C. R., The range of \(A^{−1}A^∗\) in GL(n, C), Linear Algebra and Appl., 9, 209-222 (1974) · Zbl 0292.15007
[2] Fan, K., Generalized Cayley transformations and strictly dissipative matrices, Linear Algebra and Appl., 5, 155-172 (1972) · Zbl 0243.15005
[3] Fan, K., On strictly dissipative matrices, Linear Algebra and Appl., 9, 223-241 (1974) · Zbl 0293.15021
[4] Kato, T., Perturbation Theory for Linear Operators (1966), Springer: Springer New York · Zbl 0148.12601
[5] Kato, T., Some mapping theorems for the numerical range, Proc. Japan Acad., 41, 652-655 (1965) · Zbl 0143.36702
[6] J.M. Ortega and R.J. Plemmons, Generalizations of the Ostrowski-Reich theorem for SOR iterations, Linear Algebra and Appl.; J.M. Ortega and R.J. Plemmons, Generalizations of the Ostrowski-Reich theorem for SOR iterations, Linear Algebra and Appl. · Zbl 0416.65024
[7] Siegel, C. L., Topics in Complex Functions Theory, Vol. III (1972), Wiley-Interscience: Wiley-Interscience New York, Chapter 5. · Zbl 0184.11201
[8] Tall, D. O., Functions of a Complex Variable, Vol. I (1970), Routledge and Kegan Paul: Routledge and Kegan Paul London · Zbl 0222.30001
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