On Newton-like methods to enclose solutions of nonlinear equations

Günter Mayer

Displaying similar documents to “On Newton-like methods to enclose solutions of nonlinear equations”

Combining the preconditioned conjugate gradient method and a matrix iterative method

Jan Zítko (1996)

Applications of Mathematics

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The preconditioned conjugate gradient method for solving the system of linear algebraic equations with a positive definite matrix is investigated. The initial approximation for conjugate gradient is constructed as a result of a matrix iteration method after $m$ steps. The behaviour of the error vector for such a combined method is studied and special numerical tests and conclusions are made.

Interval algorithm for absolute value equations

Aixiang Wang, Haijun Wang, Yongkun Deng (2011)

Open Mathematics

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We investigate the absolute value equations Ax−|x| = b. Based on ɛ-inflation, an interval verification method is proposed. Theoretic analysis and numerical results show that the new proposed method is effective.

Efficient trust region method for nonlinear least squares

Ladislav Lukšan (1996)

Kybernetika

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Two-step relaxation Newton method for nonsymmetric algebraic Riccati equations arising from transport theory.

Wu, Shulin, Huang, Chengming (2009)

Mathematical Problems in Engineering

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Newton iteration for the closest normal matrix of order two.

László, Lajos (2005)

Mathematica Pannonica

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Solution of linear algebraic equations with 3-diagonal ill-conditioned system matrix

Pavol Poliak, Mária Postulková, Romana Vyhnanská (1970)

Aplikace matematiky

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Certain methods for the solution of system of linear algebraic equations with ill-conditioned system matrix are compared with the Gaussian method. The considered methods were modified for 3-diagonal systems.