Results 1 to 10 of about 1,499,755 (333)
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
doaj +4 more sources
Matrix compression along isogenic blocks
Acta 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]
Journal of Theoretical Probability, 2006 10 ...
Tamer Oraby
openalex +4 more sources
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
doaj +2 more sources
Entanglement and Density Matrix of a Block of Spins in AKLT Model [PDF]
, 2008 We study a 1-dimensional AKLT spin chain, consisting of spins $S$ in the bulk and $S/2$ at both ends. The unique ground state of this AKLT model is described by the Valence-Bond-Solid (VBS) state.
Ying Xu +3 more
openalex +3 more sources
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
doaj +2 more sources
Optimal Sampling Algorithms for Block Matrix Multiplication [PDF]
Journal 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
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source