We analyze necessary and sufficient conditions on a nonsingular matrix A such that, for any initial vector râ‚€, an orthogonal basis of the Krylov subspaces ${\cal K}_{n}(A,r_{0})$ is generated by a ...
Some algorithms based upon a projection process onto the Krylov subspace $K_m = \operatorname{Span}(r_0, Ar_0, \ldots, A^{m - 1}r_0)$ are developed, generalizing the ...
The Nature Index 2024 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...
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