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Several results on chordal bipartite graphs

Mihály Bakonyi, Aaron Bono (1997)

Czechoslovak Mathematical Journal

The question of generalizing results involving chordal graphs to similar concepts for chordal bipartite graphs is addressed. First, it is found that the removal of a bisimplicial edge from a chordal bipartite graph produces a chordal bipartite graph. As consequence, occurance of arithmetic zeros will not terminate perfect Gaussian elimination on sparse matrices having associated a chordal bipartite graph. Next, a property concerning minimal edge separators is presented. Finally, it is shown that,...

Solving linear systems with a Levinson-like solver.

Vandebril, Raf, Mastronardi, Nicola, Van Barel, Marc (2007)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Sparse Null Basis Computations in Structural Optimization.

Alex Pothen (1987)

Numerische Mathematik

Stationary Schrödinger equations governing electronic states of quantum dots in the presence of spin-orbit splitting

Marta M. Betcke, Heinrich Voss (2007)

Applications of Mathematics

In this work we derive a pair of nonlinear eigenvalue problems corresponding to the one-band effective Hamiltonian accounting for the spin-orbit interaction governing the electronic states of a quantum dot. We show that the pair of nonlinear problems allows for the minmax characterization of its eigenvalues under certain conditions which are satisfied for our example of a cylindrical quantum dot and the common InAs/GaAs heterojunction. Exploiting the minmax property we devise an efficient iterative...

Displaying 1 – 4 of 4

Several results on chordal bipartite graphs

Solving linear systems with a Levinson-like solver.

Sparse Null Basis Computations in Structural Optimization.

Stationary Schrödinger equations governing electronic states of quantum dots in the presence of spin-orbit splitting

Currently displaying 1 – 4 of 4