Results 31 to 40 of about 4,993,076 (256)
Squares of matrix-product codes [PDF]
, 2020 The component-wise or Schur product $C*C'$ of two linear error-correcting codes $C$ and $C'$ over certain finite field is the linear code spanned by all component-wise products of a codeword in $C$ with a codeword in $C'$.
Ruano Benito, Diego +4 more
core +1 more source
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
doaj +1 more source
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
doaj +1 more source
Optimising Matrix Product State Simulations of Shor's Algorithm [PDF]
Quantum, 2019 We detail techniques to optimise high-level classical simulations of Shor's quantum factoring algorithm. Chief among these is to examine the entangling properties of the circuit and to effectively map it across the one-dimensional structure of a matrix ...
Aidan Dang +2 more
doaj +1 more source
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.
core +1 more source
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
doaj +1 more source
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
doaj +1 more source
Locally recoverable codes from the matrix-product construction [PDF]
, 2023 Matrix-product constructions giving rise to locally recoverable codes are considered, both the classical $r$ and $(r,\delta)$ localities. We study the recovery advantages offered by the constituent codes and also by the defining matrices of the matrix ...
Ruano, Diego +3 more
core
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
doaj +1 more source
Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction Hyperlipidemia is a major risk factor for atherosclerotic cardiovascular disease (ASCVD). Although statins are the cornerstone of lipid‐lowering therapy, their use may be limited in some patients by adverse effects. This study evaluated the possible impact of non‐drug treatment using double‐filtration plasmapheresis (DFPP) on CD14+
Yun Cheng +3 more
wiley +1 more source