4 problems

Extension conjecture. The proposed methodology can be readily extended to other elliptic problems such as linear elasticity, parabolic problems, and higher spatial dimensions.

Consider a slightly non-symmetric matrix and an $LDU$ factorization whose triangular factors include an upper-triangular factor $U$. Let a reordering be a permutation of the matrix…

Let $A$ be nonsingular. Define the non-orthogonal coarse-grid correction using transfer operators … The correction is stable in the sense that … for some constant $C$ independent o…

Let $\{A_n\}$ and $\{B_n\}$ be sequences of Hermitian positive definite matrices. Assume that there exist positive constants $\vartheta_1,\vartheta_2$ independent of $n$ such that…