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The nonsmooth Newton’s method for the horizontal nonlinear complementarity problem
In this paper, we establish a modulus-based nonsmooth Newton’s method for solving a class of horizontal nonlinear complementarity problems and prove...
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Truncated Minimal-Norm Gauss–Newton Method Applied to the Inversion of FDEM Data
Electromagnetic induction techniques are among the most popular methods for non-invasive investigation of the soil. The collection of data is allowed...
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The simpler block CMRH method for linear systems
The block changing minimal residual method based on the Hessenberg reduction algorithm (in short BCMRH) is a recent block Krylov method that can...
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A 4D-Var method with flow-dependent background covariances for the shallow-water equations
The 4D-Var method for filtering partially observed nonlinear chaotic dynamical systems consists of finding the maximum a-posteriori (MAP) estimator...
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A Novel ADI Based Method for Model Reduction of Discrete-Time Index 2 Control Systems
An exclusive model order reduction (MOR) technique for a discrete-time (DT) index 2 dynamical structure is examined in this work. The power systems...
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Extended nonsymmetric global Lanczos method for matrix function approximation
Extended Krylov subspace methods are attractive methods for computing approximations of matrix functions and other problems producing large-scale...
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Multi-scale Directed Graph Convolution Neural Network for Node Classification Task
The existence of problems and objects in the real world which can be naturally modeled by complex graph structure has motivated researchers to...
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An efficient topology optimization method based on adaptive reanalysis with projection reduction
An efficient topology optimization based on the adaptive auxiliary reduced model reanalysis (AARMR) method is proposed to improve computational...
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An improved matrix split-iteration method for analyzing underground water flow
The Hermitian and skew-Hermitian splitting iteration method (HSS) is commonly an effective linear iterative method for solving sparse non-Hermite...
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A rotated shift-splitting method for complex symmetric linear systems
This article proposes a generalized rotated shift-splitting (GRSS) iterative method for solving complex symmetric linear systems. Our analysis...
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Quantifying Uncertainty of Image Labelings Using Assignment Flows
This paper introduces a novel approach to uncertainty quantification of image labelings determined by assignment flows. Local uncertainties caused by...
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Learning Linear Assignment Flows for Image Labeling via Exponential Integration
We introduce a novel algorithm for estimating optimal parameters of linear assignment flows for image labeling. This flow is determined by the...
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Fast Rational Lanczos Method for the Toeplitz Symmetric Positive Semidefinite Matrix Functions
In this paper, we use the rational Lanczos method to approximate Toeplitz matrix functions, in which the matrices are symmetric positive semidefinite...
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Application of the AmgX Library to the Discontinuous Galerkin Methods for Elliptic Problems
We consider an application of the AmgX library by NVIDIA as the preconditioner or solver for discrete elliptic problems expressed through...
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Generative Modeling of Sparse Approximate Inverse Preconditioners
We present a new deep learning paradigm for the generation of sparse approximate inverse (SPAI) preconditioners for matrix systems arising from the...
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Verified Correctness, Accuracy, and Convergence of a Stationary Iterative Linear Solver: Jacobi Method
Solving a sparse linear system of the form \(Ax=b\)...
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A Riccati-type algorithm for solving generalized Hermitian eigenvalue problems
The paper describes a heuristic algorithm for solving a generalized Hermitian eigenvalue problem fast. The algorithm searches a subspace for an...
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On restarted and deflated block FOM and GMRES methods for sequences of shifted linear systems
The problem of shifted linear systems is an important and challenging issue in a number of research applications. Krylov subspace methods are...
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Achieving high performance and portable parallel GMRES algorithm for compressible flow simulations on unstructured grids
Improving the effectiveness and scalability of implicit algorithms has long been a subject that attracted scientific computing researchers. The...
