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nonlinear systems; inexact Newton-like methods; composite iterations; deformation theory of plasticity; numerical experiments; nonlinear elliptic problems; generalized Picard method; secant modulus method; preconditioned conjugate gradients; convergence

References:

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[2] Blaheta R.: **Displacement decomposition-incomplete factorization preconditioning for linear elasticity problems**. to appear in J. Numer. Lin. Alg. Appl. 1992/1993.

[3] Desai C.S., H. J. Siriwardane: **Constitutive laws for engineering materials with emphasis on geologic materials**. Prentice Hall, Englewood Cliffs, NJ, 1984. Zbl 0543.73004

[4] Kohut R., R. Blaheta: **Efficient iterative methods for numerical solution of plasticity problems**. Proc. of the NUMEG'92 Conference, Prague 1992, vol. 1, pp. 129-134.

[5] Nečas J.: **Introduction to the theory of nonlinear elliptic equations**. Teubner Texte zur Mathematik, Band 52, Leipzig, 1983. MR 0731261

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[8] Deuflhard P.: **Global inexact Newton methods for very large scale nonlinear problems**. Impact of Соmр. in Science and Engng. 3 (1991), 366-393. MR 1141306 | Zbl 0745.65032