1. Approximating Functions of Positive Compact Operators by Using Bell Polynomials
- Author
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Diego Caratelli, Paolo Ricci, Pierpaolo Natalini, and Electromagnetics
- Subjects
Pure mathematics ,Logic ,Value (computer science) ,resolvent ,02 engineering and technology ,01 natural sciences ,matrix functions ,Bell polynomials ,Matrix (mathematics) ,Operator (computer programming) ,orthogonal invariants ,0202 electrical engineering, electronic engineering, information engineering ,Robert’s formulas ,0101 mathematics ,Representation (mathematics) ,Mathematical Physics ,Resolvent ,Mathematics ,Algebra and Number Theory ,lcsh:Mathematics ,010102 general mathematics ,positive compact operators ,Robert's formulas ,lcsh:QA1-939 ,Compact operator ,Matrix function ,020201 artificial intelligence & image processing ,Geometry and Topology ,Analysis - Abstract
After recalling the most important properties of the Bell polynomials, we show how to approximate a positive compact operator by a suitable matrix. Then, we derive a representation formula for functions of the obtained matrix, which can be considered as an approximate value for the functions of the corresponding operator.
- Published
- 2020
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