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APPML
2005
80views more  APPML 2005»
13 years 4 months ago
On the pseudo-inverse of the Laplacian of a bipartite graph
1 We provide an efficient method to calculate the pseudo-inverse of the Laplacian of a bipartite graph, which is2 based on the pseudo-inverse of the normalized Laplacian.3
Ngoc-Diep Ho, Paul Van Dooren
APPML
2005
70views more  APPML 2005»
13 years 4 months ago
Exact lower bound for proportion of maximally embedded beamlet
We prove that the maximal inscribed beamlet is at least 1/7 of an arbitrary line segment (i.e., beam). The implication of this result is addressed.
Xiaoming Huo
APPML
2005
56views more  APPML 2005»
13 years 4 months ago
On the semigroup of linearized forced elongation
In this note we analyze the linearized equations of forced elongation. We prove that solutions of these equations are given by a quasicontraction C0-semigroup on the physically co...
Thomas Hagen
APPML
2005
63views more  APPML 2005»
13 years 4 months ago
A fourth-order eigenvalue problem arising in viscoelastic flow
We consider a fourth-order eigenvalue problem on a semi-infinite strip which arises in the study of viscoelastic shear flow. The eigenvalues and eigenfunctions are computed by a s...
David O. Olagunju
APPML
2005
84views more  APPML 2005»
13 years 4 months ago
Well-posedness in Maxwell systems with distributions of polarization relaxation parameters
We present existence, uniqueness and continuous dependence (with respect to probability distributions on polarization parameters) of solutions in Maxwell systems. This provides a ...
H. T. Banks, Nathan L. Gibson