Results 31 to 40 of about 710,317 (313)
Zero Triple Product Determined Matrix Algebras
Journal of Applied Mathematics, 2012 Let A be an algebra over a commutative unital ring C. We say that A is zero triple product determined if for every C-module X and every trilinear map {⋅,⋅,⋅}, the following holds: if {x,y,z}=0 whenever xyz=0, then there exists a C-linear operator T:A3⟶X ...
Hongmei Yao, Baodong Zheng
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Exact bosonic Matrix Product States (and holography)
Journal of High Energy Physics, 2019 We derive an exact formula for a matrix product state (MPS) representation (or a PEPS in higher number of dimensions) of the ground state of translationally invariant bosonic lattice systems in terms of a single one-dimensional Euclidean quantum ...
Romuald A. Janik
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Short notes: improved matrix product computation using double-pipeline systolic arrays
, 1988 A volume-efficient retimed hexagonal array for computing matrix product is described. The new array requires the same time as the well-known hex array of Kung and Leiserson but uses only half the hardware.
Megson, G.M., Evans, D.J.
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Matrix product operator representations [PDF]
, 2010 We show how to construct relevant families of matrix product operators (MPOs) in one and higher dimensions. These form the building blocks for the numerical simulation methods based on matrix product states and projected entangled pair states.
Murg, Valentin +9 more
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Out-of-equilibrium dynamics with matrix product states
New Journal of Physics, 2012 Theoretical understanding of strongly correlated systems in one spatial dimension has been greatly advanced by the density-matrix renormalization group (DMRG) algorithm, which is a variational approach using a class of entanglement-restricted states ...
M L Wall, Lincoln D Carr
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The Reverse Order Law for the {1,3M,4N}—The Inverse of Two Matrix Products
AxiomsBy using the maximal and minimal ranks of some generalized Schur complement, the equivalent conditions for the reverse order law (AB){1,3M,4K}=B{1,3N,4K}A{1,3M,4N} are presented.
Yingying Qin, Baifeng Qiu, Zhiping Xiong
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Some determinantal inequalities for Hadamard and Fan products of matrices
Journal of Inequalities and Applications, 2016 In this note, we generalize some determinantal inequalities which are due to Lynn (Proc. Camb. Philos. 60:425-431, 1964), Chen (Linear Algebra Appl. 368:99-106, 2003) and Ando (Linear Multilinear Algebra 8:291-316, 1980).
Xiaohui Fu, Yang Liu
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Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
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New matrix domain derived by the matrix product
Filomat, 2016 In this work, we define new sequence spaces by using the matrix obtained by product of factorable matrix and generalized difference matrix of order m. Afterward, we investigate topological structure which are completeness, AK-property, AD-property. Also, we compute the ?-, ?- and ?- duals, and obtain bases for these sequence spaces. Finally
Karakaya, Vatan +2 more
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A scaled power product recurrence examined using matrix methods [PDF]
, 2016 A scaled power product recurrence is examined here via a matrix approach which both recovers and extends some recent results found using standard difference equations theory alone. Closed forms for the associated sequence terms are derived for a range of
Larcombe, Peter J., Fennessey, Eric J.
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