iterative matrix solution methods
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... effective iterative methods are constructed to solve the linear matrix equation of the form ...definite solution of the linear matrix equation are ...definite ...
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The iterative methods for solving nonlinear matrix equation X+A⋆X−1A+B⋆X−1B=Q
... A decomposition of M ˜ exists if and only if X is a positive definite solution of matrix equation (). Solving the linear system My ˜ = f is equivalent to solving two linear systems with a lower and upper ...
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Multistep Quadrature Based Methods for Nonlinear System of Equations with Singular Jacobian
... diagonal matrix used as the perturba- tion term in literature has not been significantly modified since introduced in ...based iterative methods in ...based iterative methods with ...
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A Class of Generalized Approximate Inverse Solvers for Unsymmetric Linear Systems of Irregular Structure Based on Adaptive Algorithmic Modelling for Solving Complex Computational Problems in Three Space Dimensions
... and iterative, assuming that there are no barriers due to memory requirements for the former or excessive runtimes ...coefficient matrix is assumed to be unsymmetric (case occurring in the discre- tization ...
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On the Iterative Solution to H∞ Control Problems
... the iterative equations for computing the stabilizing equation to (1)? Many re- searchers have investigated Riccati Equation (1) and more specially how to compute his stabilizing ...effective methods. The ...
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Finite Step Conjugate Gradients Methods for the Solution of an Impedance Operator Equation Arising in Electromagnetics
... solved. Iterative methods have been considered to be more efficient for large system ...the solution and should yield a new and better estimate than the pre- vious ...efficient iterative ...
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Convergence analysis of modulus based matrix splitting iterative methods for implicit complementarity problems
... ping from R n into itself. We further assume that u –m(u) is invertible. Here (·) T denotes the transpose of the corresponding vector. In the fields of scientific computing and economic applications, many problems can ...
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Image reconstruction of fluorescent molecular tomography based on the tree structured Schur complement decomposition
... large-scale matrix manipulations. Generally, the iterative solution approaches, such as CG method [7] and Gauss-Newton (GN) method [8], are more efficient than the direct solution ...the ...
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Finite Iterative Algorithm for Solving a Class of Complex Matrix Equation with Two Unknowns of General Form
... the iterative algorithm always converge to the solution for any initial ...the methods are very neat and efficient. The proposed methods are illustrated by numerical ...
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Parallel Implementation of Hybrid Direct-Iterative Algorithm for Multibody Dynamics via Krylov Subspace Methods on IBM 1350 Cluster
... (PPCG) iterative solver was used to solve constraint equation (1b) in ...PPCG methods work very well for solution of a large sparse, symmetric, and positive definite system of linear ...constraint ...
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Developing CRS iterative methods for periodic Sylvester matrix equation
... efficient iterative methods have been proposed to solve the pe- riodic Sylvester matrix equation ...residual methods for solving the periodic Sylvester matrix equation ...of ...
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Iterative Reweighted Algorithms for Matrix Rank Minimization
... the matrix completion problem, a special case of affine rank minimization arising in collaborative filtering among other applications, and presented efficient implementations specialized to this ...rank ...
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II. THE GROUP ITERATIVE METHODS
... Fig 2 represents the computational molecule of the rotated point approximation (5). A point iterative scheme based on the by constructing 2 types of points on the x-y plane of the solution domain. We may ...
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Iterative refinement methods for eigenproblems
... a solution is almost entirely in the direction of the eigenvector Uj , and so inverse iteration is ideal for solving for eigenvectors where we use b as an initial approximation to an eigenvector (Wilkinson (1965) ...
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Iterative methods for ternary diffusions
... Since its discovery and later analysis by Darken [], the Kirkendall effect [] has been found in various alloy systems, and studies on lattice defects and diffusion developed signifi- cantly. The Danielewski-Holly method ...
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New iterative methods for a common solution of fixed points for pseudo-contractive mappings and variational inequalities
... three iterative methods for finding a common element of the set of fixed points for a continuous pseudo-contractive mapping and the solution set of a variational inequality problem governed by ...
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General iterative methods for monotone mappings and pseudocontractive mappings related to optimization problems
... some iterative methods for finding the mini- mum norm element in the solution set of certain problems (for instance, variational in- equality problem, minimization problem, split feasibility problem, ...
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Modified Efficient Families of Two and Three Step Predictor Corrector Iterative Methods for Solving Nonlinear Equations
... based iterative methods with sixth, seventh and eight order of conver- gence for finding simple zeros of nonlinear ...three-step iterative methods consid- ered by Mir and Zaman ...three-step ...
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Weights in block iterative methods
... factorization methods are inecient for such a large-scale problem we employ iterative ...successful iterative methods in the area of constructive solution of such problems see [5] and ...
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On iterative solutions of a split feasibility problem with nonexpansive mappings
... regularized iterative methods have been introduced and investigated for solutions of the feasibility problems in either Banach or Hilbert spaces by many authors; see [1–5, 16, 17, 19, 28, 31] and the ...
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