D'yakonov, E. G.; Knyazev, A. V. A group iteration method for finding the lowest eigenvalues. (Russian) Vestnik Moskov. Univ. Ser. XV Vychisl. Mat. Kibernet. 1982, no. 2, 29--34, 81.
Knyazev, A. V. "Convergence rate estimates for iterative methods for a mesh symmetric eigenvalue problem." Soviet J. Numer. Anal. Math. Modelling 2 (1987), no. 5, 371--396.
N. S. Bakhvalov and A. V. Knyazev, "Fictitious domain methods and computation of homogenized properties of composites with a periodic structure of essentially different components," In Numerical Methods and Applications, Ed. Gury I. Marchuk, CRC Press, 221-276, 1994.
A. V. Knyazev, "Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method." SIAM Journal on Scientific Computing 23 (2001), no. 2, pp. 517-541.
N. S. Bakhvalov, A. V. Knyazev, and R. R. Parashkevov, "Extension Theorems for Stokes and Lame equations for nearly incompressible media and their applications to numerical solution of problems with highly discontinuous coefficients." Numerical Linear Algebra with Applications, 9 (2002) no. 2, 115-139.
A. V. Knyazev and Olof Widlund, Lavrentiev "Regularization + Ritz Approximation = Uniform Finite Element Error Estimates for Differential Equations with Rough Coefficients." Mathematics of Computation, 72 (2003), 17-40.
A. V. Knyazev, I. Lashuk, M. E. Argentati, and E. Ovchinnikov, "Block Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) in hypre and PETSc" (2007). SIAM Journal on Scientific Computing (SISC). 25(5): 2224-2239,
F. Bottin, S. Leroux, A. Knyazev, G. Zerah, "Large scale ab initio calculations based on three levels of parallelization." (2008). Computational Material Science, 42(2), 329-336.
A. V. Knyazev and M. E. Argentati, "Rayleigh-Ritz majorization error bounds with applications to FEM," (2010). SIAM. J. Matrix Anal. & Appl. Volume 31, Issue 3, pp. 1521-1537.
A. V. Knyazev, A. Jujunashvili, and M. E. Argentati, "Angles Between Infinite Dimensional Subspaces with Applications to the Rayleigh-Ritz and Alternating Projectors Methods" (2010). Journal of Functional Analysis, 259 pp. 1323-1345.