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A remark on confluent Cauchy and confluent Loewner matrices. (English) Zbl 0813.15019
This note proves that confluent Cauchy matrices are a special case of confluent Loewner matrices.

MSC:
15B57 Hermitian, skew-Hermitian, and related matrices
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References:
[1] A.C. Antoulas and B.D.Q. Anderson: On the scalar rational interpolation problem. IMA J. Math. Control Inform. 3 (1986), 61-88. · Zbl 0637.93014
[2] W.F. Donoghue, Jr.: Monotone Matrix Functions and Analytic Continuation. Springer-Verlag, New York, 1974. · Zbl 0278.30004
[3] G. Heinig: Inversion of generalized Cauchy matrices and other classes of structured matrices. IMA · Zbl 0823.65020
[4] Z. Vavřín: A unified approach to Loewner and Hankel matrices. Linear Algebra Appl. 143 (1991), 171-222. · Zbl 0712.15023
[5] Z. Vavřín: Confluent Cauchy and Cauchy-Vandermonde matrices. Linear Algebra Appl · Zbl 0882.15023
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