Results 11 to 20 of about 3,133,998 (302)
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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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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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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Inertias of Block Band Matrix Completions
SIAM Journal on Matrix Analysis and Applications, 1998 Summary: This paper classifies the ranks and inertias of Hermitian completion for the partially specified \(3 \times 3\) block band Hermitian matrix (also known as a ``bordered matrix'') \[ P=\begin{pmatrix} A&B&?\\ B^*&C&D\\ ?&D^*&E \end{pmatrix}.
Nir Cohen, Jerome Dancis
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Pivot-Free Block Matrix Inversion [PDF]
2006 Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2006 We present a pivot-free deterministic algorithm for the inversion of block matrices. The method is based on the Moore-Penrose inverse and is applicable over certain general classes of rings. This improves on previous methods that required at least one invertible on-diagonal block, and that otherwise required row- or column-based pivoting, disrupting ...
Stephen Watt, Watt, Stephen M.
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Block ILU factorization preconditioners for a block-tridiagonal H-matrix
Linear Algebra and its Applications, 2000 The authors propose three new block incomplete LU (BILU) factorizations for a block-tridiagonal \(H\)-matrix readily parallelizable. The construction of BILU factors is based on the element-wise LU \(\text{ILU}(k)\) factorization (incomplete LU factorization of level \(k\) of fill-in) of diagonal blocks, \(B_i=L_iU_i-R_i\).
Kim, Sang Wook, Yun, Jae Heon
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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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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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