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Quantum Coding via Quasi-Cyclic Block Matrix [PDF]
Entropy, 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
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A particular block Vandermonde matrix [PDF]
ITM 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
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SeqBMC: Single‐cell data processing using iterative block matrix completion algorithm based on matrix factorisation [PDF]
IET Systems BiologyWith 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
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Fredholm theory for demicompact linear relations
Applied General Topology, 2022 We first attempt to determine conditions on a linear relation T such that μT becomes a demicompact linear relation for each μ ∈ [0,1)(see Theorems 2.4 and 2.5).
Aymen Ammar, Slim Fakhfakh, Aref Jeribi
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Algebraic Characterizations of Relationships between Different Linear Matrix Functions
Mathematics, 2023 Let f(X1,X2,…,Xk) be a matrix function over the field of complex numbers, where X1,X2,…,Xk are a family of matrices with variable entries. The purpose of this paper is to propose and investigate the relationships between certain linear matrix functions ...
Yongge Tian, Ruixia Yuan
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On Relationships between a Linear Matrix Equation and Its Four Reduced Equations
Axioms, 2022 Given the linear matrix equation AXB=C, we partition it into the form A1X11B1+A1X12B2+A2X21B1+A2X22B2=C, and then pre- and post-multiply both sides of the equation by the four orthogonal projectors generated from the coefficient matrices A1, A1, B1, and ...
Bo Jiang, Yongge Tian, Ruixia Yuan
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Miscellaneous equalities for idempotent matrices with applications
Open Mathematics, 2020 This article brings together miscellaneous formulas and facts on matrix expressions that are composed by idempotent matrices in one place with cogent introduction and references for further study.
Tian Yongge
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Characterizations of the group invertibility of a matrix revisited
Demonstratio Mathematica, 2022 A square complex matrix AA is said to be group invertible if there exists a matrix XX such that AXA=AAXA=A, XAX=XXAX=X, and AX=XAAX=XA hold, and such a matrix XX is called the group inverse of AA.
Tian Yongge
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Block Matrix Formulations for Evolving Networks [PDF]
SIAM Journal on Matrix Analysis and Applications, 2017 18 pages, 2 ...
Fenu, Caterina, Higham, Desmond J.
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Experimental and modeling study on the effect of molecular diffusion during CO2 injection
Petroleum Research, 2021 In this work, a new approach based on the effect of molecular diffusion on oil recovery during CO2 injection in naturally fractured reservoirs has been proposed to examine the best condition for oil recovery in the matrix block.
Vahid Moayedi Esfahani +3 more
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