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Structural Convergence Results for Approximation of Dominant Subspaces from Block Krylov Spaces

Structural Convergence Results for Approximation of Dominant Subspaces from Block Krylov Spaces

This paper is concerned with approximating the dominant left singular vector space of a real matrix $A$ of arbitrary dimension, from block Krylov spaces generated by the matrix ${A}{A}^T$ and the block vector $A{X}$. Two classes of results are presented. First are bounds on the distance, in the two- and …