In this work, we obtain improved error bounds for Pade approximations to e(A) when A is block triangular. As a result, improved scaling strategies ensue which avoid some common overscaling difficulties.
Pade' approximation of the exponential of a block triangular matrix / L. DIECI; A. PAPINI. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - STAMPA. - 308:(2000), pp. 183-202. [10.1016/S0024-3795(00)00042-2]
Pade' approximation of the exponential of a block triangular matrix
PAPINI, ALESSANDRA
2000
Abstract
In this work, we obtain improved error bounds for Pade approximations to e(A) when A is block triangular. As a result, improved scaling strategies ensue which avoid some common overscaling difficulties.
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