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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 ...
Diagonal Scaling in Douglas-Rachford Splitting and ADMM
Diagonal Scaling Douglas-Rachford Splitting ADMM
2015/7/9
Recently, several convergence rate results for Douglas-Rachford splitting and the alternating direction method of multipliers (ADMM) have been presented in the literature. In this paper, we show linea...
Superfluid-Insulator Transition in a Commensurate One-Dimensional Bosonic System with Off-Diagonal Disorder
Quantum phase transition d lattice boson system monte carlo simulation of the superfluid
2014/12/20
We study the nature of the superfluid-insulator quantum phase transition in a one-dimensional system of lattice bosons with off-diagonal disorder in the limit of a large integer filling factor. Monte ...
Construction of non-diagonal background error covariance matrices for global chemical data assimilation
Chemical data assimilation To optimize the noise Model predictions Chemical state
2014/12/9
Chemical data assimilation attempts to optimally use noisy observations along with imperfect model predictions to produce a better estimate of the chemical state of the atmosphere. It is widely accept...
Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and matrix elements of some quasi-local operators
Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables Complete spectrum matrix elements Mathematical Physics
2012/6/19
The integrable quantum models associated to the transfer matrices of spin 1/2 highest weight representations for the 6-vertex reflection algebra are studied in the framework of Sklyanin's quantum sepa...
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...
Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end
The six-vertex model Open spin chain Partition function
2011/9/22
Abstract: With the help of the F-basis provided by the Drinfeld twist or factorizing F-matrix for the open XXZ spin chain with non-diagonal boundary terms, we obtain the determinant representation of ...
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...
Temperature performance analysis of terahertz quantum cascade lasers: Vertical versus diagonal designs
Temperature performance analysis terahertz quantum cascade lasers Vertical versus diagonal designs
2011/9/14
Resonant phonon depopulation terahertz quantum cascade lasers based on vertical and diagonal lasing transitions are systematically compared using a well established ensemble Monte-Carlo approach. The ...
On a proof of the collapse conjecture for a diagonal Bianchi type-IX vacuum space-time
collapse conjecture diagonal Bianchi type-IX vacuum space-time General Relativity and Quantum Cosmology
2011/7/27
Abstract: It is given a simple proof of the collapse conjecture for a diagonal Bianchi type-IX vacuum space-time. It is shown that the codimension of the infinity stable attractor, restricted to the a...
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 ...