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- Andrew Knyazev
- Math. Comput.
- 1997

The following estimate for the Rayleighâ€“Ritz method is proved: |Î»Ìƒâˆ’Î»||(Å©,u)| â‰¤ â€–AÅ©âˆ’ Î»ÌƒÅ©â€–sinâˆ {u;Å¨}, â€–uâ€–= 1. Here A is a bounded self-adjoint operator in a real Hilbert/euclidian space, {Î»,u} one ofâ€¦ (More)

We suggest and implement a parallelization scheme based on an efficient multiband eigenvalue solver, called the locally optimal block preconditioned conjugate gradient (lobpcg) method, and using anâ€¦ (More)

- Andrew Knyazev, ABRAM JUJUNASHVILI
- 2007

We define angles from-to and between infinite dimensional subspaces of a Hilbert space using the spectra of the product of corresponding orthogonal projectors. Our definition is inspired by the workâ€¦ (More)

- Radek Tezaur, Jan Mandel, +4 authors Patrick Le Tallec
- 1998

The convergence of a substructuring iterative method with Lagrange multipliers known as Finite Element Tearing and Interconnecting (FETI) method is analyzed in this thesis. This method, originallyâ€¦ (More)

- Andrew Knyazev, Olof B. Widlund
- Math. Comput.
- 2003

We consider a parametric family of boundary value problems for a diffusion equation with a diffusion coefficient equal to a small constant in a subdomain. Such problems are not uniformly well-posedâ€¦ (More)

- Alexandra G Pershina, Aleksey E Sazonov, +6 authors O G Terechova
- Journal of nanoscience and nanotechnology
- 2011

Interaction of cobalt ferrite nanopowder and nucleic acid was investigated. Superparamagnetic cobalt ferrite nanoparticles (6-12 nm) were prepared by mechanochemical synthesis. Structure of theâ€¦ (More)

- Dong Tian, H Elsayed Mansour, Andrew Knyazev, Anthony Vetro
- 2014 IEEE International Conference on Multimediaâ€¦
- 2014

In 3D image/video acquisition, different views are often captured with varying noise levels across the views. In this paper, we propose a graph-based image enhancement technique that uses a higherâ€¦ (More)

- Andrew Knyazev, Yuta Fujii, Alexander Malyshev
- SIAM Conf. on Control and its Applications
- 2015

Model predictive control (MPC) anticipates future events to take appropriate control actions. Nonlinear MPC (NMPC) describes systems with nonlinear models and/or constraints. A Continuation/GMRESâ€¦ (More)

In the present dissertation we consider three crucial problems of numerical linear algebra: solution of a linear system, an eigenvalue, and a singular value problem. We focus on the solution methodsâ€¦ (More)

- Andrew Knyazev
- 2015 IEEE Global Conference on Signal andâ€¦
- 2015

In [D01:10.1109/ICMEW.2014.6890711], a graph-based denoising is performed by projecting the noisy image to a lower dimensional Krylov subspace of the graph Laplacian, constructed using nonnegativeâ€¦ (More)