Generalized Eigen-Solvers

Detailed explanation (including examples) of solving the standard and generalized eigenproblems is provided in this chapter. Popular subspace iterations and Lanczos algorithms (including major subtopics, such as inverse and forward iterations, shifted eigenproblems, Sturm sequence check, unsymmetrical eigensolvers, balanced matrix, reduction to Hessenberg form, QR factorization, and modified Gram-Schmidt re-orthogonalization) are presented in this chapter.