In this work we (i) use the theory of piecewise analytic functions to represent the Fréchet derivative of any primary matrix function, in particular of primary logarithms; (ii) propose an indicator to assess inherent difficulties to compute a logarithm; and (iii) revisit Padé approximation techniques for the principal logarithm of block triangular matrices.
Conditioning and Pade' approximation of the logarithm of a matrix / L. DIECI; A. PAPINI. - In: SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. - ISSN 0895-4798. - STAMPA. - 21:(2000), pp. 913-930. [10.1137/S089547989834531X]
Conditioning and Pade' approximation of the logarithm of a matrix
PAPINI, ALESSANDRA
2000
Abstract
In this work we (i) use the theory of piecewise analytic functions to represent the Fréchet derivative of any primary matrix function, in particular of primary logarithms; (ii) propose an indicator to assess inherent difficulties to compute a logarithm; and (iii) revisit Padé approximation techniques for the principal logarithm of block triangular matrices.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
