Search Results - Matrix Theory and Algorithms

Elliptic Quaternion Matrices: Theory and Algorithms by Kösal, Hidayet Hüda, Kişi, Emre, Akyiğit, Mahmut, Çelik, Beyza

“…In this study, we obtained results for the computation of eigen-pairs, singular value decomposition, pseudoinverse, and the least squares problem for elliptic quaternion matrices…”
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Matrix methods: theory, algorithms and applications : dedicated to the memory of Gene Golub by Olshevsky, Vadim, Tyrtyshnikov, Eugene

“…Compared to other books devoted to matrices, this volume is unique in covering the whole of a triptych consisting of algebraic theory, algorithmic problems and numerical applications, all united…”
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Anti-diagonalization theory and algorithm of matrices—from skew-symmetric matrices to arbitrary matrices by Wu, Yunyun, Li, Yayun

“… The theory and algorithm about the anti-triangular factorization of skew-symmetric matrices are proved…”
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Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop theory: The preconditioned setting by Bogoya, M., Serra-Capizzano, S., Vassalos, P.

“…Under appropriate technical assumptions, the simple-loop theory allows to derive various types of asymptotic expansions for the eigenvalues of Toeplitz matrices generated by a function f…”
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Nonorthogonal orbital based N-body reduced density matrices and their applications to valence bond theory. II. An efficient algorithm for matrix elements and analytical energy gradients in VBSCF method by Chen, Zhenhua, Chen, Xun, Wu, Wei

“… algorithms for matrix elements between VB structures and energy gradients in valence bond self-consistent field (VBSCF…”
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Sketch Kernel Ridge Regression Using Circulant Matrix: Algorithm and Theory by Yin, Rong, Liu, Yong, Wang, Weiping, Meng, Dan

“…> is the number of data. In this article, we propose a novel random sketch technique based on the circulant matrix that achieves savings in storage space and accelerates the solution of the KRR approximation…”
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Fast algorithms for structured matrices: theory and applications: AMS-IMS-SIAM Joint Summer Research Conference on Fast Algorithms in Mathematics, Computer Science, and Engineering, August 5-9, 2001, Mount Holyoke College, South Hadley, Massachusetts by Vadim Olshevsky

“… Recently, many other algorithms of this type were discovered, and the theory of structured matrices emerged…”
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Linear response theory for the density matrix renormalization group: efficient algorithms for strongly correlated excited states by Nakatani, Naoki, Wouters, Sebastian, Van Neck, Dimitri, Chan, Garnet Kin-Lic

“…Linear response theory for the density matrix renormalization group (DMRG-LRT) was first presented in terms of the DMRG renormalization projectors [J. J. Dorando, J. Hachmann, and G. K.-L. Chan, J. Chem. Phys. 130, 184111 (2009…”
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Fault location method of active distribution network based on graph theory and matrix algorithm by Li, Yalei, Zhang, Xiaohong

“… can not accurately obtain the location of the fault zone, the low accuracy of fault location, the error bigger problem a new fault location method of active distribution network combining graph theory and matrix was proposed…”
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G-Pre: A Graph-Theory-Based Matrix Preconditioning Algorithm for Finite Element Simulation Solutions by Chen, Min, Li, Jingyan, Li, Lijie, Liang, Kang, Wu, Gai, Shen, Wei

“…–theory-based matrix preconditioning algorithm called G-Pre. In this method, by introducing a graph partitioning algorithm and a graph rearrangement algorithm…”
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Research on Stock Market Portfolio Optimization Using Stochastic Matrix Theory and Genetic Algorithm by Zhang, YanJin

“… Using the principle of random matrix, the correlation statistical characteristics of stocks are analyzed, the noise reduction and reconstruction algorithm of the correlation matrix is discussed…”
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Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop theory by Bogoya, Manuel, Ekström, Sven-Erik, Serra-Capizzano, Stefano

“…Under appropriate technical assumptions, the simple-loop theory allows to derive various types of asymptotic expansions for the eigenvalues of Toeplitz matrices generated by a function f…”
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Nonnegative Matrix Factorization Theory, Algorithms and Applications by Fernsel, Pascal

“…This work is devoted to the application-oriented design of Nonnegative Matrix Factorization (NMF…”
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An Arithmetic for Matrix Pencils: Theory and New Algorithms by Benner, Peter, Byers, Ralph

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Low-Complexity Modeling of Partially Available Second-Order Statistics: Theory and an Efficient Matrix Completion Algorithm by Zare, Armin, Yongxin Chen, Jovanovic, Mihailo R., Georgiou, Tryphon T.

“…State statistics of linear systems satisfy certain structural constraints that arise from the underlying dynamics and the directionality of input disturbances…”
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Matrix GPBiCG algorithms for solving the general coupled matrix equations by Hajarian, Masoud

“…Linear matrix equations have important applications in control and system theory…”
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Fast Algorithms for Structured Matrices: Theory and Applications by Olshevsky, Vadim

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Multiple regression for matrix and vector predictors: Models, theory, algorithms, and beyond by Lin, Meixia, Zeng, Ziyang, Zhang, Yangjing

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Image encryption algorithm for synchronously updating Boolean networks based on matrix semi-tensor product theory by Wang, Xingyuan, Gao, Suo

“…This paper studies chaotic image encryption technology and an application of matrix semi-tensor product theory, and a Boolean network encryption algorithm for a synchronous update process is proposed…”
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The Anomaly Detection Algorithm Based on Random Matrix Theory and Machine Learning by Lu, Yongming

“…This study focuses on anomaly detection algorithms. Aiming at the limitations of traditional methods in complex data processing, an innovative algorithm that integrates random matrix theory and machine learning is proposed…”
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