Operator alternating-triangular method for the three-dimentional static problem in elasticity theory

To solve the tree-dimensional static problems in elasticity theory in the displacements a new class of effective iteration methods – factorized operator-triangular methods was studied. The additive expansion of the diagonal operator leads to the analogous expansion of the initial matrix operator in the sum of triangular-matrix operators. The degree of convergence of the factorized operator-triangular method is higher than of factorized operator-diagonal method, when, as in the two-dimensional case, the corresponding iterative parameters were taken.