Results 1 to 10 of about 665,713 (170)
Matrix Concentration for Products [PDF]
Foundations of Computational Mathematics, 2021 This paper develops nonasymptotic growth and concentration bounds for a product of independent random matrices. These results sharpen and generalize recent work of Henriksen-Ward, and they are similar in spirit to the results of Ahlswede-Winter and of Tropp for a sum of independent random matrices.
De Huang +3 more
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Querying a Matrix through Matrix-Vector Products [PDF]
ACM Transactions on Algorithms, 2021 We consider algorithms with access to an unknown matrix M ε F n×d via matrix-vector products , namely, the algorithm chooses vectors v 1 , ⃛ , v q , and observes Mv 1 , ⃛ , Mv q . Here the v
Xiaoming Sun 0001 +3 more
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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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Squares of matrix-product codes [PDF]
Finite Fields and Their Applications, 2020 The component-wise or Schur product $C*C'$ of two linear error correcting codes $C$ and $C'$ over certain finite field is the linear code spanned by all component-wise products of a codeword in $C$ with a codeword in $C'$. When $C=C'$, we call the product the square of $C$ and denote it $C^{*2}$.
Ignacio Cascudo +2 more
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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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