Results 241 to 250 of about 111,307 (278)

On the spectral abscissa and the logarithmic norm

Mathematical Notes, 2017
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Perov, A. I., Kostrub, I. D.
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The logarithmic norm. History and modern theory

BIT Numerical Mathematics, 2006
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Gustaf Söderlind
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Second Logarithmic Derivative of a Complex Matrix in the Chebyshev Norm

SIAM Journal on Matrix Analysis and Applications, 2000
Summary: The second logarithmic derivative \(\mu^{(2)}_{\infty}[A]\) of a complex \(n \times n\)-matrix \(A\) in the Chebyshev norm is defined as the second right derivative of \(\|\Phi(t)\|_{\infty} = \|e^{A t} \|_{\infty}\) at \(t=0\), where \(\|\cdot \|_{\infty}\) denotes the operator norm corresponding to the norm \(\|\cdot \|_{\infty}\) in ...
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Absolute Logarithmic Norm

Russian Mathematics, 2018
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Perov, A. I., Kostrub, I. D., Kleshchina, O. I., Dikarev, E. E.   +3 more
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Logarithmic Norms and Nonlinear DAE Stability

BIT Numerical Mathematics, 2002
The authors discuss the use of logarithmic norms for the stability analysis of nonlinear differential algebraic equations (DAEs). The main idea is to introduce (restricted) least upper bound logarithmic Lipschitz constants defined with respect to the left and right semi-inner products in a Banach space. The definition is made in such a way that it also
Higueras, Immaculada, Söderlind, Gustaf
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Norm of the Hilbert Matrix on Logarithmically Weighted Bergman Spaces

Complex Analysis and Operator Theory, 2023
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Ye, Shanli, Feng, Guanghao
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Closure in the Logarithmic Bloch Norm of Dirichlet Type Spaces

Complex Analysis and Operator Theory, 2021
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Guanlong Bao, Zengjian Lou, Xiaojing Zhou   +2 more
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On Logarithmic Norms

SIAM Journal on Numerical Analysis, 1975
This paper discusses some normlike properties of the logarithmic norm and related efficiency questions. Some computational questions are raised and some examples of use are indicated.
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Logarithmic Convexity for Supremum Norms of Harmonic Functions

Bulletin of the London Mathematical Society, 1994
The authors prove the following convexity property for supremum norms of harmonic functions. Let \(\Omega\) be a (connected) domain in \(\mathbb{R}^ n\) \((n\geq 2)\), \(\Omega_ 0 \subset \Omega\) a nonempty open subset and \(E\subset \Omega\) a compact subset (which may be just one point).
Korevaar, J., Meyers, J.L.H.
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Properties of the weighted logarithmic matrix norms

IMA Journal of Mathematical Control and Information, 2007
In this paper, we are concerned with the properties of the weighted logarithmic matrix norms. A relation between the elliptic logarithmic matrix norm and the weighted logarithmic matrix norm is given. Based on Lyapunov equations, two weighted logarithmic matrix norms are constructed which are less than 1-logarithmic matrix norm and ∞-logarithmic matrix
G.-D. Hu, M. Liu
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