Search Results - "Li, Jiao‐fen"
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Riemannian conjugate gradient method for low-rank tensor completion
Published in Advances in computational mathematics (01-06-2023)“…Tensor completion aims to reconstruct a high-dimensional data from the partial element missing tensors under a low-rank constraint, which may be seen as a…”
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2
Newton’s method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils
Published in Advances in computational mathematics (01-04-2021)“…The l parameterized generalized eigenvalue problems for the nonsquare matrix pencils, proposed by Chu et al.in 2006, can be formulated as an optimization…”
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An efficient algorithm for solving the nonnegative tensor least squares problem
Published in Numerical linear algebra with applications (01-12-2021)“…In this paper, we consider the nonnegative tensor least squares problem, which arises in the color image restoration. Based on the BB stepsize technique, we…”
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A trust‐region method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils
Published in Numerical linear algebra with applications (01-08-2021)“…The l parameterized generalized eigenvalue problems for the nonsquare matrix pencils, proposed by Chu and Golub [SIAM J. Matrix Anal. Appl., 28(2006), pp…”
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On the low rank solution of the Q-weighted nearest correlation matrix problem
Published in Numerical linear algebra with applications (01-03-2016)“…Summary The low rank solution of the Q‐weighted nearest correlation matrix problem is studied in this paper. Based on the property of Q‐weighted norm and the…”
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Numerical solutions of AXB = C for centrosymmetric matrix X under a specified submatrix constraint
Published in Numerical linear algebra with applications (01-10-2011)“…We say that X = [xij] ni, j = 1 is centrosymmetric if xij = xn − j + 1, n − i + 1, 1⩽i, j⩽n. In this paper, we present an efficient algorithm for minimizing…”
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Efficient algorithms for solving condition number-constrained matrix minimization problems
Published in Linear algebra and its applications (15-12-2020)“…Well-conditioned matrices are often required in science and engineering, such as signal processing and finance. Problem to find the nearest positive definite…”
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An efficient method for solving a matrix least squares problem over a matrix inequality constraint
Published in Computational optimization and applications (01-03-2016)“…In this paper, we consider solving a class of matrix inequality constrained matrix least squares problems of the form min 1 2 ‖ ∑ i = 1 t A i X B i - C ‖ 2…”
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On the Low-Rank Approximation Arising in the Generalized Karhunen-Loeve Transform
Published in Abstract and Applied Analysis (01-01-2013)“…We consider the low-rank approximation problem arising in the generalized Karhunen-Loeve transform. A sufficient condition for the existence of a solution is…”
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10
A symmetric preserving iterative method for generalized Sylvester equation
Published in Asian journal of control (01-05-2011)“…The generalized Sylvester matrix equation AX + YB = C is encountered in many systems and control applications, and also has several applications relating to…”
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11
A Riemannian Optimization Approach for Solving the Generalized Eigenvalue Problem for Nonsquare Matrix Pencils
Published in Journal of scientific computing (01-03-2020)“…In this paper, based on the Riemannian optimization approach we propose a Riemannian nonlinear conjugate gradient method with nonmonotone line search technique…”
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12
On solutions of matrix equation AXB=C under semi-tensor product
Published in Linear & multilinear algebra (27-07-2021)“…The semi-tensor product, which was initially proposed by Cheng et al. [An introduction to semi-tensor product of matrices and its applications. World…”
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Solvability of matrix equations , under semi-tensor product
Published in Linear & multilinear algebra (02-09-2017)“…In this paper we consider the solvability of the matrix equations , with respect to the semi-tensor product. Using the concept of the semi-tensor product which…”
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14
Numerical methods for solving some matrix feasibility problems
Published in Numerical algorithms (01-02-2017)“…In this paper, we design two numerical methods for solving some matrix feasibility problems, which arise in the quantum information science. By making use of…”
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15
A hybrid algorithm for solving minimization problem over (R,S)-symmetric matrices with the matrix inequality constraint
Published in Linear & multilinear algebra (04-05-2015)“…In this paper, we consider the following minimization problem: where , , , and are given. An efficient inequality relaxation technique is presented to relax…”
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16
New symmetry preserving method for optimal correction of damping and stiffness matrices using measured modes
Published in Journal of computational and applied mathematics (01-07-2010)“…Measured and analytical data are unlikely to be equal due to measured noise, model inadequacies, structural damage, etc. It is necessary to update the physical…”
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The submatrix constraint problem of matrix equation AXB + CYD = E
Published in Applied mathematics and computation (01-12-2009)“…We say that X = [ x ij ] i , j = 1 n is symmetric centrosymmetric if x ij = x ji and x n - j + 1 , n - i + 1 , 1 ⩽ i , j ⩽ n . In this paper we present an…”
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Procrustes problems and associated approximation problems for matrices with k-involutory symmetries
Published in Linear algebra and its applications (01-02-2011)“…We say that a matrix R ∈ C n × n is k-involutary if its minimal polynomial is x k - 1 for some k ⩾ 2 , so R k - 1 = R - 1 and the eigenvalues of R are 1 , ζ ,…”
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Dykstra’s algorithm for constrained least-squares doubly symmetric matrix problems
Published in Theoretical computer science (28-06-2010)“…In this work we apply Dykstra’s alternating projection algorithm for minimizing ‖ A X − B ‖ where ‖ ⋅ ‖ is the Frobenius norm and A ∈ R m × n , B ∈ R m × n and…”
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Generalized inverse problems for part symmetric matrices on a subspace in structural dynamic model updating
Published in Mathematical and computer modelling (2011)“…An n × n matrix A is said to be M -symmetric if x T ( A − A T ) = 0 for all x ∈ R ( M ) , where M ∈ R n × p is given. In this paper, by extending the idea of…”
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