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2 results on '"Robert’s formulas"'

1. Approximating Functions of Positive Compact Operators by Using Bell Polynomials

Author

Diego Caratelli, Pierpaolo Natalini, and Paolo Emilio Ricci

Subjects
resolvent, Bell polynomials, orthogonal invariants, Robert’s formulas, positive compact operators, matrix functions, Mathematics, QA1-939
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
Full Text
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2. Approximating Functions of Positive Compact Operators by Using Bell Polynomials.

Author

Caratelli, Diego, Natalini, Pierpaolo, and Ricci, Paolo Emilio

Subjects
POLYNOMIALS, BELLS, OPERATOR functions, MATRIX functions, COMPACT operators, POSITIVE operators
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. [ABSTRACT FROM AUTHOR]

Published
2020
Full Text
View/download PDF

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