Block five diagonal matrices and the fast numerical solution of the biharmonic equation
Louis A. Bauer, Edward L. Reiss · Mathematics of Computation · 1972
A factoring and block elimination method for the fast numerical solution of block five diagonal linear algebraic equations is described. Applications of the method are given for the numerical solution of several boundary-value problems involving the biharmonic operator. In particular, 22 eigenvalues and eigenfunctions of the clamped square plate are computed and sketched.