Results 41 to 50 of about 1,052,390 (266)

Classical Virasoro irregular conformal block

, 2015
Virasoro irregular conformal block with arbitrary rank is obtained for the classical limit or equivalently Nekrasov-Shatashvili limit using the beta-deformed irregular matrix model (Penner-type matrix model for the irregular conformal block).
Rim, Chaiho, Zhang, Hong
core   +2 more sources

Cross-social-network user alignment research based on multi-dimensional user features

Systems Science & Control Engineering
Accurately aligning the same users on different flat social networks to merge user information and create more nuanced user profiles is critical. However, the current research in this area faces challenges related to low efficiency and inadequate ...
Tao Zhao, Heng Gao, Zecheng Wang, Dianjie Bi, Xuemin Chen   +4 more
doaj   +1 more source

A preconditioned fast collocation method for a linear bond-based peridynamic model

Advances in Difference Equations, 2020
We develop a fast collocation method for a static bond-based peridynamic model. Based on the analysis of the structure of the stiffness matrix, a fast matrix-vector multiplication technique was found, which can be used in the Krylov subspace iteration ...
Xuhao Zhang, Xiao Li, Aijie Cheng, Hong Wang   +3 more
doaj   +1 more source

An Efficient Block Circulant Preconditioner For Simulating Fracture Using Large Fuse Networks

, 2005
{\it Critical slowing down} associated with the iterative solvers close to the critical point often hinders large-scale numerical simulation of fracture using discrete lattice networks.
Batrouni G G, Chakrabarti B K, Chan R, Chan R H, Chan R H, Chan T, de Arcangelis L, Duxbury P M, Golub G H, Hansen A, Herrmann H J, Nukala P K V V, Phani Kumar V V Nukala, Sahimi M, Srdan Simunovic, Tyrtyshnikov E   +15 more
core   +1 more source

UTILIZING CONCEPTUAL MODELING IN THE STUDY OF ONE OF THE IRANIAN FRACTURED CARBONATE RESERVOIRS [PDF]

Journal of Petroleum Science and Technology, 2013
A typical Iranian carbonate matrix block surrounded by an open fracture was modeled in order to understand the fracture-matrix interaction and realize how to model the interaction best. The modeling was carried out by using a fine-scaled Eclipse model in
seyed Majid Hashemi, Gholamreza Bashiri
doaj   +1 more source

A Lower-Upper-Lower Block Triangular Decomposition with Minimal Off-Diagonal Ranks

, 2015
We propose a novel factorization of a non-singular matrix $P$, viewed as a $2\times 2$-blocked matrix. The factorization decomposes $P$ into a product of three matrices that are lower block-unitriangular, upper block-triangular, and lower block ...
Püschel, Markus, Serre, François
core   +1 more source

Operator-Based Truncation Scheme Based on the Many-Body Fermion Density Matrix [PDF]

, 2003
In [S. A. Cheong and C. L. Henley, cond-mat/0206196 (2002)], we found that the many-particle eigenvalues and eigenstates of the many-body density matrix $\rho_B$ of a block of $B$ sites cut out from an infinite chain of noninteracting spinless fermions ...
C.F. Bender, Christopher L. Henley, E.R. Davidson, F. Gebhard, J. Dukelsky, J. Gaite, M.C. Chung, P.W. Anderson, S. Liang, S. Östlund, S.-A. Cheong, S.R. White, S.R. White, S.R. White, Siew-Ann Cheong, T. Xiang   +15 more
core   +1 more source

A note on the formulas for the Drazin inverse of the sum of two matrices

Open Mathematics, 2019
In this paper we derive the formula of (P + Q)D under the conditions Q(P + Q)P(P + Q) = 0, P(P + Q)P(P + Q) = 0 and QPQ2 = 0. Then, a corollary is given which satisfies the conditions (P + Q)P(P + Q) = 0 and QPQ2 = 0. Meanwhile, we show that the additive
Liu Xin, Yang Xiaoying, Wang Yaqiang
doaj   +1 more source

Optimal sampling algorithms for block matrix multiplication

Journal of Computational and Applied Mathematics, 2023
In this paper, we investigate the randomized algorithms for block matrix multiplication from random sampling perspective. Based on the A-optimal design criterion, the optimal sampling probabilities and sampling block sizes are obtained. To improve the practicability of the block sizes, two modified ones with less computation cost are provided.
Niu, Chengmei, Li, Hanyu
openaire   +2 more sources

Eigenvalues of block structured asymmetric random matrices [PDF]

, 2015
We study the spectrum of an asymmetric random matrix with block structured variances. The rows and columns of the random square matrix are divided into $D$ partitions with arbitrary size (linear in $N$).
Aljadeff, Johnatan, Renfrew, David, Stern, Merav   +2 more
core   +1 more source