A nonmonotone line search technique for Newton's method
SIAM Journal on Numerical Analysis
Accurate solutions of ill-posed problems in control theory
SIAM Journal on Matrix Analysis and Applications
Krylov subspace methods for solving large Lyapunov equations
SIAM Journal on Numerical Analysis
Iterative methods for X − AXB = C
Journal of Computational and Applied Mathematics - Special issue: dedicated to William B. Gragg on the occasion of his 60th Birthday
Global FOM and GMRES algorithms for matrix equations
Applied Numerical Mathematics
Solution of the matrix equation AX + XB = C [F4]
Communications of the ACM
Algorithm 813: SPG—Software for Convex-Constrained Optimization
ACM Transactions on Mathematical Software (TOMS)
Optimal Control of Distributed Parameter Systems
Optimal Control of Distributed Parameter Systems
Nonmonotone Spectral Projected Gradient Methods on Convex Sets
SIAM Journal on Optimization
The triangle method for finding the corner of the L-curve
Applied Numerical Mathematics
Low rank approximate solutions to large Sylvester matrix equations
Applied Mathematics and Computation
Deblurring Images: Matrices, Spectra, and Filtering (Fundamentals of Algorithms 3) (Fundamentals of Algorithms)
Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
Sylvester Tikhonov-regularization methods in image restoration
Journal of Computational and Applied Mathematics
Conditional gradient Tikhonov method for a convex optimization problem in image restoration
Journal of Computational and Applied Mathematics
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We propose and study the use of convex constrained optimization techniques for solving large-scale Generalized Sylvester Equations (GSE). For that, we adapt recently developed globalized variants of the projected gradient method to a convex constrained least-squares approach for solving GSE. We demonstrate the effectiveness of our approach on two different applications. First, we apply it to solve the GSE that appears after applying left and right preconditioning schemes to the linear problems associated with the discretization of some partial differential equations. Second, we apply the new approach, combined with a Tikhonov regularization term, to restore some blurred and highly noisy images.