Results 1 to 10 of about 1,052,390 (266)
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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Electronic 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
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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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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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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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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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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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Quantum Coding via Quasi-Cyclic Block Matrix
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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Real block-circulant matrices and DCT-DST algorithm for transformer neural network
Frontiers in Applied Mathematics and Statistics, 2023 In the encoding and decoding process of transformer neural networks, a weight matrix-vector multiplication occurs in each multihead attention and feed forward sublayer.
Euis Asriani +4 more
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