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Classifying phases protected by matrix product operator symmetries using matrix product states [PDF]
Quantum, 2023 We classify the different ways in which matrix product states (MPSs) can stay invariant under the action of matrix product operator (MPO) symmetries. This is achieved through a local characterization of how the MPSs, that generate a ground space, remain ...
José Garre-Rubio +2 more
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Hasil Kali Matriks (Mod 2) pada Graf Roda, Graf Pertemanan dan Graf Bunga
Jambura Journal of Mathematics, 2021 ABSTRAK Pada artikel ini dibahas sifat-sifat hasil kali matriks (mod 2) terkait graf roda, graf pertemanan, dan graf bunga yang grafikal. Beberapa hasil yang diperoleh, A(Wn)A(Wn)(Mod 2) dan A(Wn)A(Sn)(Mod 2) grafikal apabila n=2k+1 dengan Sn merupakan ...
Fransiskus Fran +2 more
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Characterizations of Matrix Equalities for Generalized Inverses of Matrix Products
Axioms, 2022 This paper considers how to construct and describe matrix equalities that are composed of algebraic operations of matrices and their generalized inverses.
Yongge Tian
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A unique and novel graph matrix for efficient extraction of structural information of networks
Electronic Journal of Graph Theory and Applications, 2021 In this article, we propose a new type of square matrix associated with an undirected graph by trading off the natural embedded symmetry in them. The proposed matrix is defined using the neighbourhood sets of the vertices, called as neighbourhood matrix
Sivakumar Karunakaran +1 more
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Computational and Structural Biotechnology Journal, 2021 The high mutation rate in retroviruses is one of the leading causes of drug resistance. In human immunodeficiency virus type-1 (HIV-1), synergistic mutations in its protease and the protease substrate – the Group-specific antigen (Gag) polyprotein – work
Firdaus Samsudin +2 more
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Invariance property of a five matrix product involving two generalized inverses
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Matrix expressions composed by generalized inverses can generally be written as f(A−1, A−2, . . ., A−k), where A1, A2, . . ., Ak are a family of given matrices of appropriate sizes, and (·)− denotes a generalized inverse of matrix.
Jiang Bo, Tian Yongge
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Diagonalization of the cross-product matrix
Examples and Counterexamples, 2023 The paper considers diagonalization of the cross-product matrices, i.e., skew-symmetric matrices of order three. A procedure to determine a nonsingular matrix, which yields the diagonalization is indicated.
Oskar Maria Baksalary, Götz Trenkler
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Journal of Inequalities and Applications, 2016 A complex matrix X is called an { i , … , j } $\{i,\ldots, j\}$ -inverse of the complex matrix A, denoted by A ( i , … , j ) $A^{(i,\ldots, j)}$ , if it satisfies the ith, …, jth equations of the four matrix equations (i) A X A = A $AXA = A$ , (ii) X A X
Yongge Tian
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Residual matrix product state for machine learning
SciPost Physics, 2023 Tensor network, which originates from quantum physics, is emerging as an efficient tool for classical and quantum machine learning. Nevertheless, there still exists a considerable accuracy gap between tensor network and the sophisticated neural network ...
Ye-Ming Meng, Jing Zhang, Peng Zhang, Chao Gao, Shi-Ju Ran
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The Forward Order Law for Least Squareg-Inverse of Multiple Matrix Products
Mathematics, 2019 The generalized inverse has many important applications in the aspects of the theoretic research of matrices and statistics. One of the core problems of the generalized inverse is finding the necessary and sufficient conditions of the forward order laws ...
Zhiping Xiong, Zhongshan Liu
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