"Matrices(mathematics)" . . "Problem solving." . . "Reliability." . . "Algorithms." . . "Theoretical Mathematics." . . "Institute for Computer Applications in Science and Engineering." . . "Symmetry." . . "Shifting." . . "Vibration." . . "Dynamics." . . "Eigenvalues." . . . . . . . . "The generalized eigenvalue problem, Kx = lambda Mx, is of significant practical importance, especially in structural engineering where it arises as the vibration and buckling problems. A new algorithm, LANZ, based on Lanczos's method is developed. LANZ uses a technique called dynamic shifting to improve the efficiency and reliability of the Lanczos algorithm. A new algorithm for solving the tridiagonal matrices that arise when using Lanczos's method is described. A modification of Parlett and Scott's selective orthogonalization algorithm is proposed. Results from an implementation of LANZ on a Convex C-220 show it to be superior to a subspace iteration code. (KR)."@en . . . . . . "The use of Lanczos's method to solve the large generalized symmetric definite eigenvalue problem"@en . . . . . . "The Use of Lanczos's Method to Solve the Large Generalized Symmetric Definite Eigenvalue Problem"@en . . . . . . . . "Structural engineering." . . . . "Buckling." . .