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Sparse orthogonal schemes for structural optimization using the force method. (English) Zbl 0575.65031

The principle of the force (or flexibility) method which is used in matrix structural analysis and which is supposed to be carried out in two phases is given. A survey of basic methods to solve each of the two phases is given. An implementation of the method is proposed when turnback-QR procedure is used for phase 1 and Paige’s linearly constrained sum-of-squares procedure for phase 2. Such usage of orthogonal factorization techniques preserves sparsity for large-scale problems and maintains numerical stability.
Reviewer: L.Bakule

MSC:

65F20 Numerical solutions to overdetermined systems, pseudoinverses
65K05 Numerical mathematical programming methods
74S30 Other numerical methods in solid mechanics (MSC2010)

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