Padé and Gregory error estimates for the logarithm of block triangular matrices
Applied Numerical Mathematics
Padé and Gregory error estimates for the logarithm of block triangular matrices
Applied Numerical Mathematics
A more accurate Briggs method for the logarithm
Numerical Algorithms
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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.