86 citations · 532 across the 35 of their papers we have counts for
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math.NA2006★ 20 cited
Bounds on changes in Ritz values for a perturbed invariant subspace of a Hermitian matrix
M. E. Argentati, A. V. Knyazev, C. C. Paige +1
The Rayleigh-Ritz method is widely used for eigenvalue approximation. Given a matrix with columns that form an orthonormal basis for a subspace $\X$, and a Hermitian matrix …
math.NA2006★ 68 cited
Steepest descent and conjugate gradient methods with variable preconditioning
Andrew V. Knyazev, Ilya Lashuk
We analyze the conjugate gradient (CG) method with variable preconditioning for solving a linear system with a real symmetric positive definite (SPD) matrix of coefficients . We…