Approximating Functions of Positive Compact Operators by Using Bell Polynomials

Diego Caratelli, Pierpaolo Natalini, Paolo Emilio Ricci

Type: Article

Publication Date: 2020-06-30

Citations: 0

DOI: https://doi.org/10.3390/axioms9030073

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.

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Works Cited by This (12)

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+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato
+	Quelques propriétés spectrales des opérateurs positifs	1987	Martin Zerner
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+	An Explicit Formula for $f(\mathcal{A})$ and the Generating Functions of the Generalized Lucas Polynomials	1982	Massimo Bruschi Paolo Emilio Ricci
+	The Formula of Faa Di Bruno	1980	Steven Roman
+	A note on integer powers of a companion matrix and applications	2020	Diego Caratelli Paolo Emilio Ricci
+	The umbral calculus	1978	Steven Roman Gian‐Carlo Rota
+	Advanced Combinatorics	1974	Louis Comtet
+	Exponential Polynomials	1934	E. T. Bell