Search Results - "Ni Guyan"
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Symmetric Hermitian decomposability criterion, decomposition, and its applications
Published in Frontiers of mathematics in China (01-10-2022)“…The Hermitian tensor is an extension of Hermitian matrices and plays an important role in quantum information research. It is known that every symmetric tensor…”
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Iterative methods for computing U-eigenvalues of non-symmetric complex tensors with application in quantum entanglement
Published in Computational optimization and applications (01-04-2020)“…The purpose of this paper is to study the problem of computing unitary eigenvalues (U-eigenvalues) of non-symmetric complex tensors. By means of symmetric…”
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A semidefinite relaxation method for second-order cone tensor eigenvalue complementarity problems
Published in Journal of global optimization (01-03-2021)“…This paper discusses second-order cone tensor eigenvalue complementarity problem. We reformulate second-order cone tensor eigenvalue complementarity problem as…”
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The degree of the E-characteristic polynomial of an even order tensor
Published in Journal of mathematical analysis and applications (15-05-2007)“…The E-characteristic polynomial of an even order supersymmetric tensor is a useful tool in determining the positive definiteness of an even degree multivariate…”
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Efficient Computation of the Impedance Matrix of Magnetic Field Integral Equation for Polyhedral Conductors
Published in IEEE transactions on antennas and propagation (01-02-2015)“…The vertical improper integral method is used to formulate a polyhedral magnetic field integral equation, which can decrease the number of singular integrals…”
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On the best rank-1 approximation to higher-order symmetric tensors
Published in Mathematical and computer modelling (01-11-2007)“…In this paper, we consider the best rank-1 approximation to higher-order symmetric tensors in the least-squares sense, and show that the best rank-1…”
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Block Diagonalization of Block Circulant Quaternion Matrices and the Fast Calculation for T-Product of Quaternion Tensors
Published in Journal of scientific computing (01-09-2024)“…With quaternion matrices and quaternion tensors being gradually used in the color image and color video processing, the block diagonalization of block…”
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Bounds of the Solution Set to the Polynomial Complementarity Problem
Published in Journal of optimization theory and applications (01-10-2024)“…In this paper, we investigate bounds of solution set of the polynomial complementarity problem. When a polynomial complementarity problem has a solution, we…”
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How entangled can a multi-party system possibly be?
Published in Physics letters. A (05-06-2018)“…The geometric measure of entanglement of a pure quantum state is defined to be its distance to the space of pure product (separable) states. Given an n-partite…”
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Spherical optimization with complex variablesfor computing US-eigenpairs
Published in Computational optimization and applications (01-12-2016)“…The aim of this paper is to compute unitary symmetric eigenpairs (US-eigenpairs) of high-order symmetric complex tensors, which is closely related to the best…”
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Partially symmetric tensor structure preserving rank-R approximation via BFGS algorithm
Published in Computational optimization and applications (01-06-2023)“…It is known that many tensor data have symmetric or partially symmetric structure and structural tensors have structure preserving Candecomp/Parafac (CP)…”
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Approximation strategy based on the T-product for third-order quaternion tensors with application to color video compression
Published in Applied mathematics letters (01-06-2023)“…Following up the ideas of T-product algebra for third-order real tensors, this paper aims to establish an approximation strategy based on the T-product for…”
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Calculating Entanglement Eigenvalues for Nonsymmetric Quantum Pure States Based on the Jacobian Semidefinite Programming Relaxation Method
Published in Journal of optimization theory and applications (01-03-2019)“…The geometric measure of entanglement is a widely used entanglement measure for quantum pure states. The key problem of computation of the geometric measure is…”
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Frequency-domain analytical solutions of two-wire transmission line with multi-impedance
Published in 2016 Progress in Electromagnetic Research Symposium (PIERS) (01-08-2016)“…The modeling of transmission line excited by an external electromagnetic field plays an important role in performing engineering studies for electrical…”
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Conference Proceeding -
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Analysis of S-parameters of a coupler based on the partial element equivalent circuit method
Published in 2011 International Conference on Electronics, Communications and Control (ICECC) (01-09-2011)“…Modern electrical devices are of particular concern in terms of EMC. In this paper, a technique to obtain S-parameters using the partial element equivalent…”
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Application of partial element equivalent circuit method to analysis of S-parameters of a bandpass filter structure
Published in 2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC) (01-08-2011)“…Faced with the challenges of increasing operational frequencies and switching rates of modern electronics devices used in electrical systems, there is an…”
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Conference Proceeding -
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Hermitian tensor and quantum mixed state
Published 05-02-2019“…An order $2m$ complex tensor $\cH$ is said to be Hermitian if \[\mathcal{H}_\ijm=\mathcal{H}_\jim ^*\mathrm{\ for\ all\ }\ijm .\] It can be regarded as an…”
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Block diagonalization of block circulant quaternion matrices and the fast calculation for T-product of quaternion tensors
Published 29-12-2022“…With the great success of the T-product based real tensor methods in the color image and gray video processing, the establishment of T-product based quaternion…”
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