Abstract
The given linear fractional transformation maps a class of pairs of analytic matrix functions onto a certain set. The conditions under which this set is convex are found. Some new properties of the harmonic mean of matrix functions are obtained.
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© 1994 Springer Basel AG
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Nudel’man, A.A. (1994). Some Properties of Linear-Fractional Transformations and the Harmonic Mean of Matrix Functions. In: Gohberg, I., Sakhnovich, L.A. (eds) Matrix and Operator Valued Functions. Operator Theory Advances and Applications, vol 72. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8532-4_8
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DOI: https://doi.org/10.1007/978-3-0348-8532-4_8
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9667-2
Online ISBN: 978-3-0348-8532-4
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