The eigenvalue complementarity problem (EiCP) represents a class of mathematical challenges where the determination of eigenvalues and corresponding eigenvectors is constrained by complementarity ...

Eigenvalue Problem: A mathematical problem where one seeks scalars (eigenvalues) and non-zero vectors (eigenvectors) that satisfy the equation Ax = λx, fundamental to understanding system behaviour.

CARSTEN CARSTENSEN, JOSCHA GEDICKE, GUARANTEED LOWER BOUNDS FOR EIGENVALUES, Mathematics of Computation, Vol. 83, No. 290 (NOVEMBER 2014), pp. 2605-2629 ...

We provide in the present paper a corrected proof for the classical quadratical convergence theorem (i.e., Theorem 3.3 in Friedland, Nocedal, and Overton [SIAM J. Numer. Anal., 24 (1987), pp. 634–667] ...

Now assume to be symmetric with non-zero off-diagonal elements, i.e. , . Let be the eigenvalues and the normalized eigenvectors of T, i.e. We consider the inverse problem: Determine from and . It is ...

Then the eigenvalues and eigenvectors are extracted. The analysis in PROC REG is reported with eigenvalues of X'X rather than singular values of X. The eigenvalues of X'X are the squares of the ...