Other Methods Definitions Transformations Parallel Algorithms

Given n × n matrix A, find scalar λ and nonzero vector x such that Ax = λx λ is eigenvalue and x is corresponding eigenvector A always has n eigenvalues, but they may be neither real nor distinct May need to compute only one or few eigenvalues, or all n eigenvalues May or may not need corresponding eigenvectors Michael T. Heath Parallel Numerical Algorithms 3 / 4