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Frames which are tight might be considered optimally conditioned in the sense of their numerical stability.This leads to the question of perfect preconditioning of frames,i.e., modification of a given...
FAST ALGORITHM FOR EXTRACTING THE DIAGONAL OF THE INVERSE MATRIX WITH APPLICATION TO THE ELECTRONIC STRUCTURE ANALYSIS OF METALLIC SYSTEMS
Diagonal extraction hierarchical Schur complement electronic structure calculation
2015/7/14
We propose an algorithm for extracting the diagonal of the inverse matrices arising from electronic structure calculation. The proposed algorithm uses a hierarchical decomposition ofthe computational ...
VATdt: Visual Assessment of Cluster Tendency Using Diagonal Tracing
Clustering Dissimilarity Measures Data Visualization Clustering Tendency
2013/1/30
The visual assessment of tendency (VAT) technique, for visually finding the number of meaningful clusters in data, developed by J. C. Bezdek, R. J. Hathaway and J. M. Huband, is very useful, but there...
An Off-Diagonal Marcinkiewicz Interpolation Theorem on Lorentz Spaces
quasilinear operator Marcinkiewicz interpolation theorem Lorentz space restricted weak type estimate
2011/10/10
Let (X,u) be a measure space. In thispaper, using some ideas from L. Grafakos and N. Kalton, the authorsestablish an off-diagonal Marcinkiewicz interpolation theorem for aquasilinear operator T in Lor...
Constructing all self-adjoint matrices with prescribed spectrum and diagonal
Schur-Horn interlacing majorization frames
2011/9/1
Abstract: The Schur-Horn Theorem states that there exists a self-adjoint matrix with a given spectrum and diagonal if and only if the spectrum majorizes the diagonal. Though the original proof of this...
Real Homology Cohomology and Harmonic Cochains, Least Squares, and Diagonal Dominance
Real Homology Cohomology Harmonic Cochains Least Squares Diagonal Dominance
2011/3/2
We give new algorithms for computing basis cochains for real-valued homology, cohomology, and
harmonic cochains on manifold simplicial complexes. We discuss only planar, surface, and solid
meshes.
The resolution of the bracket powers of the maximal ideal in a diagonal hypersurface ring
Almost Complete Intersection Enumeration of Plane Partitions
2011/1/18
Let k be a field. For each pair of positive integers (n,N), we resolve Q = R/(xN, yN, zN) as a module over the ring R = k[x, y, z]/(xn +yn + zn). Write N in the form N = an + r for integers a and r.
The diagonal of tropical matroid varieties and cycle intersections
diagonal of tropical matroid varieties cycle intersections
2011/2/21
We define an intersection product of tropical cycles on matroid varieties (via cutting out the diagonal) and show that it is well-behaved. In particular, this enables us to intersect cycles on moduli ...
We define and study a combinatorial Hopf algebra dRec with basis elements indexed by diagonal rectangulations of a square. This Hopf algebra provides an intrinsic combinatorial realization of the Hop...
Deformed diagonal harmonic polynomials for complex reflection groups
Deformed diagonal harmonic polynomials reflection groups
2010/11/22
We introduce deformations of the space of (multi-diagonal) harmonic polynomials for any finite complex reflection group of the form W=G(m,p,n), and give supporting evidence that this space seems to al...
Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions
Eigenvectors open XXZ ASEP models non-diagonal boundary conditions
2010/12/16
We present a generalization of the coordinate Bethe ansatz that allows us to solve integrable open XXZ and ASEP models with non-diagonal boundary matrices, provided their parameters obey some relation...
Bianchi type II,III and V diagonal Einstein metrics re-visited
diagonal Einstein metrics re-visited minkowskian and euclidean
2010/4/2
We present, for both minkowskian and euclidean signatures, short derivations of the diagonal Einstein metrics for Bianchi type II, III and V. For the first two cases we show the integrability of the g...
A Note on Estimates of Diagonal Elements of the Inverse of Diagonally Dominant Tridiagonal Matrices
Tridiagonal matrices Bounds of entries of the inverse
2010/1/25
In this note we show how to improve some recent upper and lower bounds for the elements of the inverse of diagonally dominant tridiagonal matrices. In particular, a technique described by [R. Peluso, ...
Diagonal Lift in the Tangent Bundle of Order Two and its Applications
Tangent bundle of order two Riemannian metric Diagonal lift Levi-civita connection Killing vector field Geodesic
2010/2/26
In this paper we define a diagonal lift Dg of Riemannian metric g of manifold Mn to the tangent bundle of order two denoted by T2Mn of Mn, we associate to Dg its Levi-civita connection of T2 M and we ...
Diagonal Lift in the Cotangent Bundle and its Applications
Cotangent bundle Riemannian metric diagonal lift Levi-Civita connection B-manifold Killing vector field geodesic
2010/3/1
The purpose of this paper is to define a diagonal lift \mathcal{D }g of a Riemannian metric g of a manifold Mn to the cotangent bundle T*(Mn) of Mn, to associate with \mathcal{D}g an Levi-Civita conne...