We present a new iterative scheme for PageRank computation. The algorithm is applied to the linear system formulation of the problem, using inner-outer stationary iterations. It is simple, can be easily implemented and parallelized, and requires minimal storage overhead. Our convergence analysis shows that the algorithm is effective for a crude inner tolerance and is not sensitive to the choice of the parameters involved. The same idea can be used as a preconditioning technique for nonstationary schemes. Numerical examples featuring matrices of dimensions exceeding 100,000,000 in sequential and parallel environments demonstrate the merits of our technique. Our code is available online for viewing and testing, along with several large scale examples.

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This paper considers a theoretical analysis of the inelastic response of tubular brace members of offshore jackets which are supported on nonlinear rotational end springs and subjected to axial load and generally applied end bending moments. The present analysis is based on the concept of 3-D plastic hinge formation. The method assumes that plasticity is confined to discrete plastic hinges while the rest of the member remains elastic. This allows a rapid nonlinear analysis of the axial behavior of the member by a sequence of elastic solutions of the classical beam-column equations. It is shown that the model is able to simulate closely and efficiently the 3-D inelastic behavior of brace members under the foregoing support conditions.

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