Abstract.
The paper suggests sharp norm estimates for the matrix logarithm and for the difference of the logarithms of two matrices.
Received: 2010-03-02
Revised: 2010-12-01
Accepted: 2011-01-12
Published Online: 2012-06-05
Published in Print: 2012-06-01
© 2012 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- Regularity theory for superquadratic energy functionals related to nonlinear Hencky materials in three dimensions
- Common fixed points of nonexpansive mappings with applications to best and best simultaneous approximation
- Perturbations of the matrix logarithm
- Strong convergence theorems for relatively quasi-nonexpansive mappings, variational inequality problems and systems of generalized mixed equilibrium problems
- Results of Tadeusz Świa̧tkowski on algebraic sums of sets and their applications in the theory of subadditive functions
- The generalized Stokes theorem for ℝ-linear forms on Lie algebroids
- Certain classes of multivalent functions with negative coefficients involving the Hadamard product
- Projective coordinates and compactification in elliptic, parabolic and hyperbolic 2-D geometry
- Location of zeros of polynomials