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Quantum Coding via Quasi-Cyclic Block Matrix [PDF]

open access: yesEntropy, 2023
An effective construction method for long-length quantum code has important applications in the field based on large-scale data. With the rapid development of quantum computing, how to construct this class of quantum coding has become one of the key ...
Yuan Li, Jin-Yang Li
doaj   +4 more sources

LSB-based pre-embedding video steganography with rotating & shifting poly-pattern block matrix. [PDF]

open access: yesPeerJ Comput Sci, 2022
Background In terms of data-hiding areas, video steganography is more advantageous compared to other steganography techniques since it uses video as its cover medium. For any video steganography, the good trade-off among robustness, imperceptibility, and
Hacimurtazaoglu M, Tutuncu K.
europepmc   +2 more sources

Block Matrix Formulations for Evolving Networks [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2015
Many types of pairwise interactions take the form of a fixed set of nodes with edges that appear and disappear over time. In the case of discrete-time evolution, the resulting evolving network may be represented by a time-ordered sequence of adjacency ...
C. Fenu, D. Higham
semanticscholar   +8 more sources

Matrix compression along isogenic blocks

open access: greenActa Scientiarum Mathematicarum, 2020
AbstractA matrix-compression algorithm is derived from a novel isogenic block decomposition for square matrices. The resulting compression and inflation operations possess strong functorial and spectral-permanence properties. The basic observation that Hadamard entrywise functional calculus preserves isogenic blocks has already proved to be of ...
Alexander C. R. Belton   +3 more
openalex   +6 more sources

The Limiting Spectra of Girko's Block-Matrix [PDF]

open access: greenJournal of Theoretical Probability, 2006
10 ...
Tamer Oraby
openalex   +4 more sources

A particular block Vandermonde matrix [PDF]

open access: yesITM Web of Conferences, 2019
The Vandermonde matrix is ubiquitous in mathematics and engineering. Both the Vandermonde matrix and its inverse are often encountered in control theory, in the derivation of numerical formulas, and in systems theory.
Yaici Malika, Hariche Kamel
doaj   +2 more sources

SeqBMC: Single‐cell data processing using iterative block matrix completion algorithm based on matrix factorisation [PDF]

open access: yesIET Systems Biology
With the development of high‐throughput sequencing technology, the analysis of single‐cell RNA sequencing data has become the focus of current research.
Gong Lejun   +4 more
doaj   +2 more sources

Optimal Sampling Algorithms for Block Matrix Multiplication [PDF]

open access: greenJournal of Computational and Applied Mathematics, 2021
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.
Chengmei Niu, Hanyu Li
openalex   +4 more sources

Random block matrix density and SS-Law

open access: yesRandom Operators and Stochastic Equations, 2000
The author studies the symmetric random block matrices \(\Xi_{pq\times pq}=\{\delta_{ij}A_{q\times q}+ {1\over\sqrt{p}} \Xi_{q\times q}^{(ij)}\}_{i,j=1}^{p}\), where \(\delta_{ij}\) is a Kronecker symbol, \(A_{q\times q}\) are nonrandom matrices, \(\|A_{q\times q}\|\leq ...
V. Girko
semanticscholar   +3 more sources

Characterizations of matrix equalities involving the sums and products of multiple matrices and their generalized inverse

open access: yesElectronic Research Archive, 2023
It is common knowledge that matrix equalities involving ordinary algebraic operations of inverses or generalized inverses of given matrices can be constructed arbitrarily from theoretical and applied points of view because of the noncommutativity of the ...
Yongge Tian
doaj   +1 more source

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