We propose a new measure of conditioning for the exponential of a block triangular matrix. We also show that different "condition numbers" must be used to assess the accuracy of different algorithms which implement diagonal Pade with scaling and squaring.
Conditioning of the exponential of a block triangular matrix / L. DIECI; A. PAPINI. - In: NUMERICAL ALGORITHMS. - ISSN 1017-1398. - STAMPA. - 28:(2001), pp. 137-150. [10.1023/A:1014071202885]
Conditioning of the exponential of a block triangular matrix
PAPINI, ALESSANDRA
2001
Abstract
We propose a new measure of conditioning for the exponential of a block triangular matrix. We also show that different "condition numbers" must be used to assess the accuracy of different algorithms which implement diagonal Pade with scaling and squaring.
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