Search Results - computational methods for sparse matrices

Symbolic algorithm for solving SLAEs with multi-diagonal coefficient matrices by Milena, Veneva

“…Systems of linear algebraic equations with multi-diagonal coefficient matrices may arise after many different scientific and engineering problems, as well as problems of the computational linear…”
Get full text

Graph coloring in the estimation of sparse derivative matrices : Instances and applicaflons: Computational methods for graph coloring and its generalizations by HOSSAIN, Shahadat, STEIHAUG, Trond

Get full text

An Efficient Quasi-Newton Method with Tensor Product Implementation for Solving Quasi-Linear Elliptic Equations and Systems by Hao, Wenrui, Lee, Sun, Zhang, Xiangxiong

“… By approximating the Jacobian matrix with a combination of linear Laplacian and simplified nonlinear terms, our method reduces the computational overhead typical of traditional Newton methods…”
Get full text

Heterogeneous Implementation of Preconditioners Based on Gauss–Seidel Method for Sparse Block Matrices by Magomedov, A. R., Gorobets, A. V.

“…–Seidel method and its transferable heterogeneous software implementation using the OpenCL computational standard…”
Get full text

Superresolution of Radar Forward-Looking Imaging Based on Accelerated TV-Sparse Method by Zhang, Yin, Zhang, Qiping, Zhang, Yongchao, Huang, Yulin, Yang, Jianyu

“… In this article, an Gohberg-Semencul (GS) decomposition-based fast TV-sparse (FTV-sparse) method is proposed to reduce the computational complexity of TV-sparse method…”
Get full text

Enhancing Hi-C contact matrices for loop detection with Capricorn: a multiview diffusion model by Fang, Tangqi, Liu, Yifeng, Woicik, Addie, Lu, Minsi, Jha, Anupama, Wang, Xiao, Li, Gang, Hristov, Borislav, Liu, Zixuan, Xu, Hanwen, Noble, William S, Wang, Sheng

“… Simultaneously, chromatin structure analyses struggle with extremely sparse contact matrices. To address this problem, computational methods to enhance low-coverage contact…”
Get full text

MATGEN: A REALISTIC SPARSE MATRIX GENERATOR USING SIGNAL PROCESSING AND IMAGE PROCESSING METHODS by PAMUK, ALI EMRE, KAPLAN, FARUK, SUHAIL, YOUSIF, ALTEKIN, MERT, TORUN, FAHREDDIN SUKRU

“…The limited size of publicly available sparse matrix datasets creates a significant challenge for benchmarking, testing, and validating algorithms in scientific computing, artificial intelligence…”
Get full text

Sparse EEG Source Localization Using LAPPS: Least Absolute l-P (0<p<1) Penalized Solution by Bore, Joyce Chelangat, Xu, Peng, Yi, Chanlin, Li, Peiyang, Li, Fali, Harmah, Dennis Joe, Si, Yajing, Guo, Daqing, Yao, Dezhong, Wan, Feng

“… Apart from the strong background activities (ongoing EEG), evoked EEG is also inevitably contaminated by strong outliers caused by head movements or ocular movements during recordings. Methods…”
Get full text

Fitting linear mixed models using sparse matrix methods and Lanczos factorization by Mahjani, Behrang, Rönnegård, Lars, Eldén, Lars

Get full text

Efficient Matrix Sparse Recovery STAP Method Based on Kronecker Transform for BiSAR Sea Clutter Suppression by Li, Junao, Li, Zhongyu, Yang, Qing, Pi, Haozhuo, Wang, Yahui, An, Hongyang, Wu, Junjie, Yang, Jianyu

“…) The computational complexity is exceedingly high. To issue these problems, an efficient matrix sparse recovery STAP (MSR-STAP…”
Get full text

Fast Parabolic Wave Equation-Based Time-of-Arrival Estimation Exploiting Sparse Matrices by Qin, Hao, Zhang, Xingqi, Hou, Weibin, Zhang, Xinyue

“… By integrating processes for extracting primary Fourier coefficients and designing sparse matrices, our method achieves notable computational efficiency, rendering it highly suitable for real-time applications…”
Get full text

Two-Dimensional DOA estimation via matrix completion and sparse matrix recovery for coprime planar array by Liu, Donghe, Zhao, Yongbo

“… In order to solve this issue, a two-dimensional (2-D) directional of arrival (DOA) estimation algorithm with CPPA via matrix completion and sparse matrix recovery is proposed in this paper…”
Get full text

Efficient Blind Source Separation Method for fMRI using Autoencoder and Spatiotemporal Sparsity Constraints by Khalid, Muhammad Usman, Khawaja, Bilal A., Nauman, Malik Muhammad

“…Diversity measures exploited by blind source separation (BSS) methods are usually based on either statistical attributes/geometrical structures or sparse/overcomplete (underdetermined…”
Get full text

Multilevel Semiparametric Latent Variable Modeling in R with "galamm" by Sørensen, Øystein

“… Implementation using sparse matrix methods and automatic differentiation ensures computational efficiency…”
Get full text

An accurate and efficient Chebyshev expansion method for large-scale transient heat conduction problems by Gao, Q., Nie, C.B.

“…•An efficient method is proposed for large-scale heat conduction problems.•The matrix exponential is approximated with Chebyshev matrix polynomials…”
Get full text

MultiAIM: Fast Electromagnetic Analysis of Multiscale Structures Using Boundary Element Methods by Li, Yongzhong, Marek, Damian, Triverio, Piero

“…Integral equation methods are extensively used for computational electromagnetism, and can be applied to large problems when accelerated with fast multipole or fast Fourier transform (FFT) techniques…”
Get full text

Fast Dictionary Learning for High-Dimensional Seismic Reconstruction by Wang, Hang, Chen, Wei, Zhang, Quan, Liu, Xingye, Zu, Shaohuan, Chen, Yangkang

“…A sparse dictionary is more adaptive than a sparse fixed-basis transform since it can learn the features directly from the input data in a data-driven way…”
Get full text

FMCW SAR Sparse Imaging Based on Approximated Observation: An Overview on Current Technologies by Bi, Hui, Zhu, Daiyin, Bi, Guoan, Zhang, Bingchen, Hong, Wen, Wu, Yirong

“… However, restricted by the computational cost, conventional FMCW SAR sparse imaging method based on observation matrix is not able to achieve the large-scale scene reconstruction, not to mention real-time processing…”
Get full text

Fast Method for Accelerating Convergence of Iterative Partial Differential Equation Solvers by Changing System Matrix to Laplacian Counterpart by Xue, Li, Jiao, Dan

“…In this work, we find that the matrix representing the curl-curl operator in a partial differential equation solver of Maxwell's equations can be analytically decomposed into a gradient divergence…”
Get full text

Analytical and numerical studies of the boundary slip in the immersed boundary‐thermal lattice Boltzmann method by Seta, Takashi, Hayashi, Kosuke, Tomiyama, Akio

“… The analytical and numerical solutions demonstrate that the proposed iterative correction methods without the computational cost of the sparse matrix solver reduce the boundary slip and boundary…”
Get full text