33 citations · 75 across the 11 of their papers we have counts for
12 papers
A Riemannian gradient descent method for optimization on the indefinite Stiefel manifold
Dinh Van Tiep, Nguyen Thanh Son
We consider the optimization problem with a generally quadratic matrix constraint of the form , where is a given nonsingular, symmetric matrix and is…
Symplectic Stiefel manifold: tractable metrics, second-order geometry and Newton's methods
Bin Gao, Nguyen Thanh Son, Tatjana Stykel
Optimization under the symplecticity constraint is an approach for solving various problems in quantum physics and scientific computing. Building on the results that this optimizat…
Optimization on the symplectic Stiefel manifold: SR decomposition-based retraction and applications
Bin Gao, Nguyen Thanh Son, Tatjana Stykel
Numerous problems in optics, quantum physics, stability analysis, and control of dynamical systems can be brought to an optimization problem with matrix variable subjected to the s…
Symplectic eigenvalues of positive-semidefinite matrices and the trace minimization theorem
Nguyen Thanh Son, Tatjana Stykel
Symplectic eigenvalues are conventionally defined for symmetric positive-definite matrices via Williamson's diagonal form. Many properties of standard eigenvalues, including the tr…
Symplectic eigenvalue problem via trace minimization and Riemannian optimization
Nguyen Thanh Son, P. -A. Absil, Bin Gao +1
We address the problem of computing the smallest symplectic eigenvalues and the corresponding eigenvectors of symmetric positive-definite matrices in the sense of Williamson's theo…
Riemannian Optimization on the Symplectic Stiefel Manifold
Bin Gao, Nguyen Thanh Son, P. -A. Absil +1
The symplectic Stiefel manifold, denoted by , is the set of linear symplectic maps between the standard symplectic spaces and $\mathbb{R}^{2n}…
Balanced truncation for parametric linear systems using interpolation of Gramians: a comparison of algebraic and geometric approaches
Nguyen Thanh Son, Pierre-Yves Gousenbourger, Estelle Massart +1
When balanced truncation is used for model order reduction, one has to solve a pair of Lyapunov equations for two Gramians and uses them to construct a reduced-order model. Althoug…
Schmidt's subspace theorem for moving hypersurface targets in subgeneral position with index in algebraic variety
Tingbin Cao, Nguyen Van Thin
Recently, Xie-Cao [15] obtained a Second Main Theorem for moving hypersurfaces located in subgeneral position with index which is extended the result of Ru [11]. By using some meth…
Convergence analysis of a Crank-Nicolson Galerkin method for an inverse source problem for parabolic equations with boundary observations
Dinh Nho Hao, Tran Nhan Tam Quyen, Nguyen Thanh Son
This work is devoted to an inverse problem of identifying a source term depending on both spatial and time variables in a parabolic equation from single Cauchy data on a part of th…
Schmidt's subspace theorem for moving hypersurface targets
Nguyen Thanh Son, Tran Van Tan, Nguyen Van Thin
It was discovered that there is a formal analogy between Nevanlinna theory and Diophantine approximation. Via Vojta's dictionary, the Second Main Theorem in Nevanlinna theory corre…
Energy-Aware Lease Scheduling in Virtualized Data Centers
Nguyen Quang-Hung, Nam Thoai, Nguyen Thanh Son +1
Energy efficiency has become an important measurement of scheduling algorithms in virtualized data centers. One of the challenges of energy-efficient scheduling algorithms, however…
EPOBF: Energy Efficient Allocation of Virtual Machines in High Performance Computing Cloud
Nguyen Quang-Hung, Nam Thoai, Nguyen Thanh Son
Cloud computing has become more popular in provision of computing resources under virtual machine (VM) abstraction for high performance computing (HPC) users to run their applicati…