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The analysis of consolidation by a quasi‐Newton technique
International Journal for Numerical and Analytical Methods in Geomechanics, 1988AbstractA quasi‐Newton algorithm is implemented for the solution of multi‐dimensional, linear consolidation problems. The study is motivated by the need to implement an efficient equation‐solving technique for the solution of large systems of equations typical in problems of consolidation of saturated porous media.
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A quasi-Newton method with Cholesky factorization
Computing, 1980A quasi-Newton method for unconstrained minimization is presented, which uses a Cholesky factorization of an approximation to the Hessian matrix. In each step a new row and column of this approximation matrix is determined and its Cholesky factorization is updated. This reduces storage requirements and simplifies the calculation of the search direction.
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On the convergence of inexact quasi-newton methods
International Journal of Computer Mathematics, 1989This paper is concerned with quasi-Newton methods for solving systems of nonlinear equations, which make use of least-change secant updates. In the course of the iterative process, errors may be introduced and so the sequence actually computed differs from that produced in theory.
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A family of the quasi-Newton methods
TRU Mathematics, 1980YAMAKI, NAOKAZU, YABE, HIROSHI
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On Quasi‐Newton methods in fast Fourier transform‐based micromechanics
International Journal for Numerical Methods in Engineering, 2020Daniel Wicht +2 more
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New Quasi-Newton Equation and Related Methods for Unconstrained Optimization
Journal of Optimization Theory and Applications, 1999Zhang J Z
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A comparison of the Gauss–Newton and quasi-Newton methods in resistivity imaging inversion
Journal of Applied Geophysics, 2002M H Loke, T Dahlin
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New quasi-Newton methods for unconstrained optimization problems
Applied Mathematics and Computation, 2006Zengxin Wei, Guoyin Li, Liqun Qi
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