Continued fraction representations of the generalized operator entropy. (English) Zbl 07784660
The direct calculation of the generalized operator entropy is known to be a computationally hard problem, due to the presence of rational exponents of matrices. The authors present a practical and efficient method for this calculation using its representation by the matrix continued fraction. A continued fraction expansion of the Bregman operator divergence is deduced. Pertinent numerical examples illustrating the theoretical result are presented.
Reviewer: K. C. Sivakumar (Chennai)
MSC:
| 47A58 | Linear operator approximation theory |
| 47A64 | Operator means involving linear operators, shorted linear operators, etc. |
| 15A60 | Norms of matrices, numerical range, applications of functional analysis to matrix theory |
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