We consider the inverse eigenvalue problem of reconstructing a doubly stochastic matrix from the given spectrum data. We reformulate this inverse problem as a constrained nonlinear least squaresâ€¦ (More)

For any given matrix A âˆˆ CnÃ—n, a preconditioner tU (A) called the superoptimal preconditioner was proposed in 1992 by Tyrtyshnikov [20]. It has been shown that tU (A) is an efficient preconditionerâ€¦ (More)

In this paper, we study the semidefinite inverse eigenvalue problem of reconstructing a real n-by-n matrix C such that it is nearest to the original pre-estimated real n-by-n matrix Co in theâ€¦ (More)