Results 11 to 20 of about 5,909,835 (371)
Random Block Matrices and Matrix Orthogonal Polynomials [PDF]
Journal of Theoretical Probability, 2008 In this paper we consider random block matrices, which generalize the general beta ensembles, which were recently investigated by Dumitriu and Edelmann (2002, 2005). We demonstrate that the eigenvalues of these random matrices can be uniformly approximated by roots of matrix orthogonal polynomials which were investigated independently from the random ...
Dette, Holger, Reuther, Bettina
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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
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Applied Sciences, 2023 The soil–rock mixture (SRM), as a heterogeneous and discrete geomaterial, can be widely found in nature and may present difficult design and construction issues for structures within or on top of them.
Guojin Zhu, Yudong Ding, Yajun Cao
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AIMS Mathematics, 2023 In practical applications of regression models, we may meet with the situation where a true model is misspecified in some other forms due to certain unforeseeable reasons, so that estimation and statistical inference results obtained under the true and ...
Ruixia Yuan, Bo Jiang, Yongge Tian
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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 the Drazin inverse of anti-triangular block matrices
Electronic Research Archive, 2022 Our aim is to present new expressions for the Drazin inverse of anti-triangular block matrices under some circumstances. Applying the established new formulae for anti-triangular block matrices, we derive explicit representations for the Drazin inverse ...
Daochang Zhang +2 more
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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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The least squares Bisymmetric solution of quaternion matrix equation AXB=C
AIMS Mathematics, 2021 In this paper, the idea of partitioning is used to solve quaternion least squares problem, we divide the quaternion Bisymmetric matrix into four blocks and study the relationship between the block matrices. Applying this relation, the real representation
Dong Wang, Ying Li, Wenxv Ding
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Random circuit block-encoded matrix and a proposal of quantum LINPACK benchmark [PDF]
Physical Review A, 2020 The LINPACK benchmark reports the performance of a computer for solving a system of linear equations with dense random matrices. Although this task was not designed with a real application directly in mind, the LINPACK benchmark has been used to define ...
Yulong Dong, Lin Lin
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The Eigenvalue Distribution of Special 2-by-2 Block Matrix-Sequences with Applications to the Case of Symmetrized Toeplitz Structures [PDF]
SIAM Journal on Matrix Analysis and Applications, 2018 Given a Lebesgue integrable function $f$ over $[0,2\pi]$, we consider the sequence of matrices $\{Y_nT_n[f]\}_n$, where $T_n[f]$ is the $n$-by-$n$ Toeplitz matrix generated by $f$ and $Y_n$ is the flip permutation matrix, also called the anti-identity ...
Paola Ferrari +4 more
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