752 research outputs found
Inversion of a block Löwner matrix
AbstractIn this paper, we give a fast algorithm to compute the parameters of an inversion formula for any nonsingular block Löwner matrix. The connection with matrix rational interpolation is given
Stabilizing stick-slip friction
Even the most regular stick-slip frictional sliding is always stochastic,
with irregularity in both the intervals between slip events and the sizes of
the associated stress drops. Applying small-amplitude oscillations to the shear
force, we show, experimentally and theoretically, that the stick-slip periods
synchronize. We further show that this phase-locking is related to the
inhibition of slow rupture modes which forces a transition to fast rupture,
providing a possible mechanism for observed remote triggering of earthquakes.
Such manipulation of collective modes may be generally relevant to extended
nonlinear systems driven near to criticality.Comment: 4 pages, 4 figure
Study on the influence of different error sources on sky radiance measurements and inversion-derived aerosol products in the frame of AERONET
Comunicación presentada en: 2012 European Aerosol Conference (EAC-2012), B-WG01S2P30, celebrada del 2 al 7 de septiembre de 2012 en Granada.Financial support from the Spanish MICINN under
projects with ref. CGL2009-09740, CGL2011-23413,
CGL2010-09480-E and CGL2011-13085-E is gratefully
acknowledged
Matrix interpretation of multiple orthogonality
In this work we give an interpretation of a (s(d + 1) + 1)-term recurrence
relation in terms of type II multiple orthogonal polynomials.We rewrite
this recurrence relation in matrix form and we obtain a three-term recurrence
relation for vector polynomials with matrix coefficients. We present a matrix
interpretation of the type II multi-orthogonality conditions.We state a Favard
type theorem and the expression for the resolvent function associated to the
vector of linear functionals. Finally a reinterpretation of the type II Hermite-
Padé approximation in matrix form is given
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