Two numerical iteration methods for solving absolute value equations
نویسندگان
چکیده
منابع مشابه
Two Cscs-based Iteration Methods for Solving Absolute Value Equations∗
Recently, two families of HSS-based iteration methods are constructed for solving the system of absolute value equations (AVEs), which is a class of non-differentiable NP-hard problems. In this study, we establish the Picard-CSCS iteration method and the nonlinear CSCS-like iteration method for AVEs involving the Toeplitz matrix. Then, we analyze the convergence of the Picard-CSCS iteration met...
متن کاملTwo CSCS-based iteration methods for absolute value equations with Toeplitz structure
Recently two kinds of HSS-based iteration methods to solve the absolute value equation (AVE) are proposed. In present paper, we focus on developing the CSCSbased methods for solving the absolute value equation (AVE) involving the Toeplitz structure, and propose the Picard-CSCS method and the nonlinear CSCS-like iterative method. With the help of introducing a smoothing approximate function, we ...
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In this paper, we present a new approach for solving absolute value equation (AVE) whichuse Levenberg-Marquardt method with conjugate subgradient structure. In conjugate subgradientmethods the new direction obtain by combining steepest descent direction and the previous di-rection which may not lead to good numerical results. Therefore, we replace the steepest descentdir...
متن کاملThe Picard-HSS iteration method for absolute value equations
Recently Bai and Yang in [On HSS-based iteration methods for weakly nonlinear systems, Appl. Numer. Math. 59 (2009) 2923–2936.] proposed the Picard-HSS iteration method to solve the system of nonlinear equations Ax = φ(x), where A ∈ Cn×n is a nonHermitian positive definite matrix and φ : D ⊂ C → C is continuously differentiable function defined on the open complex domain D in the n-dimensional ...
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ژورنال
عنوان ژورنال: ScienceAsia
سال: 2018
ISSN: 1513-1874
DOI: 10.2306/scienceasia1513-1874.2018.44.040