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A Nonlinear Conjugate Gradient Algorithm with An Optimal Property and An Improved Wolfe Line Search
conjugate gradient method memoryless BFGS method unconstrained optimization global convergence Wolfe line search
2012/8/10
In this paper, we seek the conjugate gradient direction closest to the direction of the
scaled memoryless BFGS method and propose a family of conjugate gradient methods for
unconstrained optimizatio...
Explicit presentations of nonspecial line bundles and secant spaces
algebraic curve nonspecial line bundle nonspecial divisor minimal presentation q-very ample order of very ampleness
2012/5/9
A line bundle L on a smooth curve X is nonspecial if and only if L admits a presentation L=K_X -D +E for some effective divisors D and E>0 on X with gcd (D, E)=0 and h^0 (X, O_X (D))=1. In this work, ...
A connection between the bipartite complements of line graphs and the line graphs with two positive eigenvalues
line graphs graph spectra complements Courant-Weyl inequalities
2012/4/16
In 1974 Cvetkovi\'c and Simi\'c showed which graphs $G$ are the bipartite complements of line graphs. In 2002 Borovi\'canin showed which line graphs $L(H)$ have third largest eigenvalue $\lambda_3\leq...
A class of integrable Hamiltonian systems including scattering of particles on the line with repulsive interactions
class of integrable Hamiltonian systems scattering of particles line repulsive interactions
2012/4/26
The main purpose of this paper is to introduce a new class of Hamiltonian scattering systems of the cone potential type that can be integrated via the asymptotic velocity. For a large subclass, the as...
On the metric dimension of line graphs
Metric dimension resolving set line graph de Brujin digraph Kautz digraph
2011/9/16
Abstract: Let $G$ be a (di)graph. A set $W$ of vertices in $G$ is a \emph{resolving set} of $G$ if every vertex $u$ of $G$ is uniquely determined by its vector of distances to all the vertices in $W$....
Cohomology of Line Bundles on the Flag Variety for Type G_2
Cohomology of Line Bundles the Flag Variety Quantum Algebra
2011/9/9
Abstract: In the case of an almost simple algebraic group $G$ of type $G_2$ over a field of characteristic $p>0$ we study the cohomology modules of line bundles on the flag variety for $G$. Our main r...
Abstract: We show that the monodromy operator action on the first cohomology group of the Milnor fiber is combinatorially determined for line arrangements with at most triple points and containing at ...
One dimensional Convolutional Goppa Codes over the projective line
One dimensional Convolutional Goppa Codes the projective line Information Theory
2011/9/1
Abstract: We give a general method to construct MDS one-dimensional convolutional codes. Our method generalizes previous constructions of H. Gluesing-Luerssen and B. Langfeld. Moreover we give a class...
Generalized Lantern Relations and Planar Line Arrangements
Generalized Lantern Relations Planar Line Arrangements Geometric Topology
2011/8/24
Abstract: In this paper we show that to each planar line arrangement defined over the real numbers, for which no two lines are parallel, one can write down a corresponding relation on Dehn twists that...
Absence of Resonances near Critical Line for CC Manifolds
Absence of Resonances Critical Line CC Manifolds
2011/8/22
Abstract: We find a resonance free region polynomially close to the critical line on Conformally compact manifolds with polyhomogeneous metric.
Identifying codes in line graphs
Identifying codes Dominating sets Line graphs NP-completeness
2011/8/23
Abstract: An identifying code of a graph is a subset of its vertices such that every vertex of the graph is uniquely identified by the set of its neighbours within the code. We study the edge-identify...
Voltage Collapse and ODE Approach to Power Flows: Analysis of a Feeder Line with Static Disorder in Consumption/Production
ODE Voltage Collapse Feeder Line Power Flows Static Disorder
2011/7/6
We consider a model of a distribution feeder connecting multiple loads to the sub-station. Voltage is controlled directly at the head of the line (sub-station), however, voltage anywhere further down ...
Foliations on the moduli space of rank two connections on the projective line minus four points
Painlev´ e VI Representation Fundamental group Logarithmic connection
2011/2/21
We look at natural foliations on the Painlev´e VI moduli space of regular connections of rank 2 on P1−{t1, t2, t3, t4}. These foliations are fibrations,and are interpreted in terms of the ...
A Strong Abhyankar-Moh Theorem and Criterion of Embedded Line
Abhyankar-Moh Theorem plane polynomial curve embedded line
2011/1/21
The condition of plane polynomial curve to be a line in well-known Abhyankar-Moh Theorem is replaced by weaker ones. A criterion of embedded line is obtained from this strong theorem.
Kreck-Stolz invariants for quaternionic line bundles
invariant quaternionic line bundle 7-manifold smooth structure
2011/2/25
We generalise the Kreck-Stolz invariants s2 and s3 by defining a new invariant, the t-invariant, for quaternionic line bundles over closed spinmanifolds M of dimension 4k − 1 with H3(M;Q) = H4(M...