Apr 27, 2024 · In this section we focus on a particular minimal residual norm Krylov ... solution of linear systems with a non-symmetric real coefficient matrix of type.

Jun 1, 2024 · The affine rank minimization problem consists of finding a matrix of minimum rank that satisfies a given system of linear equality constraints.

Feb 27, 2024 · The topics presented in these lecture notes follow a natural order: • Some general considerations relevant to matrix computation, • Direct solution methods for ...

Oct 27, 2023 · The authors of [32] address the problem of finding inner products that make a general preconditioned system nearly normal or nearly non-symmetric. A detailed.

Feb 1, 2024 · The worst-case behavior of GMRES for normal matrices is completely described by the values of the polynomial min-max approximation problem on the matrix ei-.

Dec 31, 2023 · Our insight into this issue is obtained by exploring the residual bounds for the rational Krylov subspace approximations of f(A)b, based on the decaying ...

Dec 26, 2023 · The Rayleigh-Schrödinger procedure produces approximations to the eigenvalues and eigenvectors of the perturbed matrix by a sequence of successively higher ...

Dec 11, 2023 · We present an algorithm to solve the linear response equations for Hartree–Fock, Density Functional Theory, and the Multiconfigurational Self-Consistent ...