The Experts below are selected from a list of 291 Experts worldwide ranked by ideXlab platform
Cao Yu-ping - One of the best experts on this subject based on the ideXlab platform.
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A Matrix Solution of Differential Equation Groups with One Step Nonhomogeneous Linear Constant Index
Journal of Gansu Lianhe University, 2011Co-Authors: Cao Yu-pingAbstract:Using Matrix index function and the concept of state Shift Matrix,and the integrating conclusions with linear algebra and differential equation,a Matrix solution of one-step linear nonhomogeneous differential equation groups was given.
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A Matrix Solution to Differential Equation Initial Value Question of n Steps Uniform Number Linear Constant Index
Journal of Gansu Lianhe University, 2010Co-Authors: Cao Yu-pingAbstract:Based on Matrix index function and the concept of state Shift Matrix,and integrated with relevant conclusions of linear algebra and differential equation,a Matrix solution of initial value on n steps linear differential equation to have uniform number was given.
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A Matrix Solution to Differential Equation Initial Value Question of n Steps Wrong Uniform Number Linear Constant Index
Journal of Tangshan College, 2010Co-Authors: Cao Yu-pingAbstract:A Matrix solution has been worked out to n-step linear nonhomogeneous differential equation initial value by means of Matrix index function and the concept of state Shift Matrix as well as the relevant conclusions regarding linear algebra and differential equation.
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A Matrix Solution to Differential Equation Initial Value Question of n Steps Variable Linear Constant Index
Journal of Gansu Lianhe University, 2006Co-Authors: Cao Yu-pingAbstract:A Matrix solution to differential equation initial value of n Steps variable linear constant index has been worked out by means of Matrix index function and the concept of state Shift Matrix as well as the relevant conclusions regarding linear algebra and differential equation.
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A Matrix Solution to Differential Equation Groups of Variable Linear Constant Index
Journal of Hebei Institute of Technology, 2005Co-Authors: Cao Yu-pingAbstract:A Matrix solution to differential equation groups of variable linear constant index has been worked out by means of Matrix index function and the concept of state Shift Matrix as well as the relevant conclusions regarding linear algebra and differential equation.
Lajos Hanzo - One of the best experts on this subject based on the ideXlab platform.
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intelligent reflecting surface aided mimo broadcasting for simultaneous wireless information and power transfer
IEEE Journal on Selected Areas in Communications, 2020Co-Authors: Cunhua Pan, Hong Ren, Kezhi Wang, Maged Elkashlan, Arumugam Nallanathan, Jiangzhou Wang, Lajos HanzoAbstract:An intelligent reflecting surface (IRS) is invoked for enhancing the energy harvesting performance of a simultaneous wireless information and power transfer (SWIPT) aided system. Specifically, an IRS-assisted SWIPT system is considered, where a multi-antenna aided base station (BS) communicates with several multi-antenna assisted information receivers (IRs), while guaranteeing the energy harvesting requirement of the energy receivers (ERs). To maximize the weighted sum rate (WSR) of IRs, the transmit precoding (TPC) matrices of the BS and passive phase Shift Matrix of the IRS should be jointly optimized. To tackle this challenging optimization problem, we first adopt the classic block coordinate descent (BCD) algorithm for decoupling the original optimization problem into several subproblems and alternately optimize the TPC matrices and the phase Shift Matrix. For each subproblem, we provide a low-complexity iterative algorithm, which is guaranteed to converge to the Karush-Kuhn-Tucker (KKT) point of each subproblem. The BCD algorithm is rigorously proved to converge to the KKT point of the original problem. We also conceive a feasibility checking method to study its feasibility. Our extensive simulation results confirm that employing IRSs in SWIPT beneficially enhances the system performance and the proposed BCD algorithm converges rapidly, which is appealing for practical applications.
Hiroshi Nakazato - One of the best experts on this subject based on the ideXlab platform.
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Unitary similarity of a weighted Shift Matrix to a symmetric Matrix
Linear Algebra and its Applications, 2021Co-Authors: Mao-ting Chien, Hiroshi NakazatoAbstract:Abstract We prove that a weighted Shift Matrix is unitarily similar to a complex symmetric Matrix if and only if its weight sequence is reversible or 2-pivot reversible.
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Symmetry of cyclic weighted Shift matrices with pivot-reversible weights
The Electronic Journal of Linear Algebra, 2020Co-Authors: Mao-ting Chien, Hiroshi NakazatoAbstract:It is proved that every cyclic weighted Shift Matrix with pivot-reversible weights is unitarily similar to a complex symmetric Matrix.
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Hyperbolic forms admit reversible weighted Shift determinantal representation
Applied Mathematics and Computation, 2019Co-Authors: Mao-ting Chien, Hiroshi NakazatoAbstract:Abstract Lentzos and Pasley recently showed that a weakly circular symmetric invariant hyperbolic ternary form admits a determinantal representation through a cyclic weighted Shift Matrix. In this paper, we improve the representing Matrix by employing a cyclic weighted Shift with reversible weights.
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THE NUMERICAL RADIUS OF A WEIGHTED Shift OPERATOR
The Electronic Journal of Linear Algebra, 2015Co-Authors: Batzorig Undrakh, Hiroshi Nakazato, Adiyasuren Vandanjav, Mao-ting ChienAbstract:In this paper, the point spectrum of the real Hermitian part of a weighted Shift operator with weight sequence a_1, a_2, . . . , a_n, 1, 1, . . . is investigated and the numerical radius of the weighted Shift operator in terms of the weighted Shift Matrix with weights a_1, a_2, . . . , a_n is formulated explicitly.
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Singular points of cyclic weighted Shift matrices
Linear Algebra and its Applications, 2013Co-Authors: Mao-ting Chien, Hiroshi NakazatoAbstract:Abstract Let S be an n-by-n cyclic weighted Shift Matrix, and F S ( t , x , y ) = det ( t I + x ℜ ( S ) + y ℑ ( S ) ) be a ternary form associated with S. We investigate the number of singular points of the curve F S ( t , x , y ) = 0 , and show that the number of singular points of F S ( t , x , y ) = 0 associated with a cyclic weighted Shift Matrix whose weights are neither 1-periodic nor 2-periodic is less than or equal to n ( n − 3 ) / 2 . Furthermore, we verify the upper bound n ( n − 3 ) / 2 is sharp for 4 ⩽ n ⩽ 7 .
Weitun Yang - One of the best experts on this subject based on the ideXlab platform.
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cyclic Shift Matrix a new tool for the translation matching problem
IEEE Transactions on Geoscience and Remote Sensing, 2019Co-Authors: Xiurui Geng, Weitun YangAbstract:For numerous applications in image registration, sub-pixel translation estimation is a fundamental task, and increasing attention has been given to methods based on image phase information. However, we have found that none of these methods is universal. In other words, for any one of these methods, we can always find some image pairs which will not be well matched. In this paper, by introducing the cyclic Shift Matrix (CSM), we present a new model for the translation matching problem and derive a least squares solution for the model. In addition, by repeatedly applying the CSM to the matching image, an iterative CSM method is proposed to further improve the matching accuracy. Furthermore, we show that the traditional phase-based matching algorithms can only achieve an exact solution when there is a cyclic Shift relationship between the images to be matched. The proposed method is evaluated using simulated and real images and demonstrates a better performance in both accuracy and robustness compared with the state-of-the-art methods.
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Cyclic Shift Matrix—A New Tool for the Translation Matching Problem
IEEE Transactions on Geoscience and Remote Sensing, 2019Co-Authors: Xiurui Geng, Weitun YangAbstract:For numerous applications in image registration, sub-pixel translation estimation is a fundamental task, and increasing attention has been given to methods based on image phase information. However, we have found that none of these methods is universal. In other words, for any one of these methods, we can always find some image pairs which will not be well matched. In this paper, by introducing the cyclic Shift Matrix (CSM), we present a new model for the translation matching problem and derive a least squares solution for the model. In addition, by repeatedly applying the CSM to the matching image, an iterative CSM method is proposed to further improve the matching accuracy. Furthermore, we show that the traditional phase-based matching algorithms can only achieve an exact solution when there is a cyclic Shift relationship between the images to be matched. The proposed method is evaluated using simulated and real images and demonstrates a better performance in both accuracy and robustness compared with the state-of-the-art methods.
Mao-ting Chien - One of the best experts on this subject based on the ideXlab platform.
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Unitary similarity of a weighted Shift Matrix to a symmetric Matrix
Linear Algebra and its Applications, 2021Co-Authors: Mao-ting Chien, Hiroshi NakazatoAbstract:Abstract We prove that a weighted Shift Matrix is unitarily similar to a complex symmetric Matrix if and only if its weight sequence is reversible or 2-pivot reversible.
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Symmetry of cyclic weighted Shift matrices with pivot-reversible weights
The Electronic Journal of Linear Algebra, 2020Co-Authors: Mao-ting Chien, Hiroshi NakazatoAbstract:It is proved that every cyclic weighted Shift Matrix with pivot-reversible weights is unitarily similar to a complex symmetric Matrix.
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Hyperbolic forms admit reversible weighted Shift determinantal representation
Applied Mathematics and Computation, 2019Co-Authors: Mao-ting Chien, Hiroshi NakazatoAbstract:Abstract Lentzos and Pasley recently showed that a weakly circular symmetric invariant hyperbolic ternary form admits a determinantal representation through a cyclic weighted Shift Matrix. In this paper, we improve the representing Matrix by employing a cyclic weighted Shift with reversible weights.
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THE NUMERICAL RADIUS OF A WEIGHTED Shift OPERATOR
The Electronic Journal of Linear Algebra, 2015Co-Authors: Batzorig Undrakh, Hiroshi Nakazato, Adiyasuren Vandanjav, Mao-ting ChienAbstract:In this paper, the point spectrum of the real Hermitian part of a weighted Shift operator with weight sequence a_1, a_2, . . . , a_n, 1, 1, . . . is investigated and the numerical radius of the weighted Shift operator in terms of the weighted Shift Matrix with weights a_1, a_2, . . . , a_n is formulated explicitly.
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Singular points of cyclic weighted Shift matrices
Linear Algebra and its Applications, 2013Co-Authors: Mao-ting Chien, Hiroshi NakazatoAbstract:Abstract Let S be an n-by-n cyclic weighted Shift Matrix, and F S ( t , x , y ) = det ( t I + x ℜ ( S ) + y ℑ ( S ) ) be a ternary form associated with S. We investigate the number of singular points of the curve F S ( t , x , y ) = 0 , and show that the number of singular points of F S ( t , x , y ) = 0 associated with a cyclic weighted Shift Matrix whose weights are neither 1-periodic nor 2-periodic is less than or equal to n ( n − 3 ) / 2 . Furthermore, we verify the upper bound n ( n − 3 ) / 2 is sharp for 4 ⩽ n ⩽ 7 .