Search Results - Accelerated block-column iterative algorithm

Iterative algorithm to the generalized coupled Sylvester‐transpose matrix equations with application in robust and minimum norm observer design of linear systems.

Authors: Qi, Rui Song, Caiqin

Source: Optimal Control - Applications & Methods; Sep2024, Vol. 45 Issue 5, p2008-2026, 19p

Subject Terms: SYSTEMS theory, MATRIX norms, LINEAR equations, LINEAR systems, MATRIX functions

A shift-splitting hierarchical identification iterative algorithm for solving the matrix equation AX−X‾B=C.

Authors: Bayoumi, Ahmed M. E.

Source: Advances in Continuous & Discrete Models; 5/14/2025, Vol. 2025 Issue 1, p1-15, 15p

Subject Terms: ITERATIVE methods (Mathematics), NUMERICAL analysis, ALGEBRAIC equations

A shift‐splitting Jacobi‐gradient iterative algorithm for solving the matrix equation A풱−풱‾B=C.

Authors: Bayoumi, Ahmed M. E.

Source: Optimal Control - Applications & Methods; Jul2024, Vol. 45 Issue 4, p1593-1602, 10p

Subject Terms: ALGORITHMS, EQUATIONS, MATRICES (Mathematics), MATHEMATICS

A Splitting-Based Iterative Algorithm for Accelerated Statistical X-Ray CT Reconstruction.

Authors: Ramani, Sathish Fessler, Jeffrey A.

Source: IEEE Transactions on Medical Imaging; Mar2012, Vol. 31 Issue 3, p677-688, 12p

Subject Terms: X-rays, TOMOGRAPHY, IMAGE reconstruction, IMAGE quality analysis, ALGORITHMS, MATHEMATICAL optimization, IMAGE processing

Block-row and block-column iterative algorithms for solving linear matrix equation.

Authors: Wang, Wenli Qu, Gangrong Song, Caiqin et al.

Source: Computational & Applied Mathematics; Jun2023, Vol. 42 Issue 4, p1-21, 21p

Subject Terms: SYLVESTER matrix equations, LINEAR equations, KRONECKER products, ALGORITHMS

AUGMENTED MGS-CGS BLOCK-ARNOLDI RECYCLING SOLVERS.

Authors: THOMAS, STEPHEN J. BAKER, ALLISON H. GAUDREAULT, STÉPHANE

Source: SIAM Journal on Scientific Computing; 2025, Vol. 47 Issue 3, pA1458-A1485, 28p

Subject Terms: KRYLOV subspace, LINEAR systems, GRAM-Schmidt process, ORTHOGONALIZATION, ITERATIVE methods (Mathematics), GAUSS-Seidel method

Compression properties for large Toeplitz-like matrices.

Authors: Beckermann, Bernhard Kressner, Daniel Wilber, Heather

Source: Numerical Algorithms; Dec2025, Vol. 100 Issue 4, p2041-2067, 27p

Subject Terms: TOEPLITZ matrices, LOW-rank matrices, ALGORITHMS, DATA compression, MATRICES (Mathematics), COMPRESSIBILITY

Average block column action methods for solving least squares problems.

Authors: Niu, Yu-Qi Zheng, Bing

Source: Journal of Applied Mathematics & Computing; Jun2024, Vol. 70 Issue 3, p2361-2386, 26p

Column-oriented algebraic iterative methods for nonnegative constrained least squares problems.

Authors: Nikazad, T. Karimpour, M.

Source: Numerical Algorithms; 2021, Vol. 86 Issue 3, p1265-1284, 20p

Subject Terms: LINEAR complementarity problem, LEAST squares, INVERSE problems, TOMOGRAPHY, TIKHONOV regularization

Discrete-time distributed algorithms for solving linear equations via layered coordination.

Authors: Wang, Bo Li, Jinghao

Source: International Journal of Systems Science; Feb2025, Vol. 56 Issue 3, p638-657, 20p

Subject Terms: LINEAR equations, ELECTRICAL load, DATA integration, FLOW simulations, PROBLEM solving

A Sparsity-Aware Autonomous Path Planning Accelerator with HW/SW Co-Design and Multi-Level Dataflow Optimization.

Authors: YIFAN ZHANG XIAOYU NIU HONGZHENG TIAN et al.

Source: ACM Transactions on Architecture & Code Optimization; Sep2025, Vol. 22 Issue 3, p1-25, 25p

Mixed-precision iterative refinement using tensor cores on GPUs to accelerate solution of linear systems.

Authors: Haidar, Azzam Bayraktar, Harun Tomov, Stanimire et al.

Source: Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences; Nov2020, Vol. 476 Issue 2243, p1-30, 30p

Subject Terms: LINEAR systems, FLOATING-point arithmetic, ENGINEERING standards, ALGORITHMS, ENGINEERING simulations

An inherently parallel ℋ 2 -ULV factorization for solving dense linear systems on GPUs.

Authors: Ma, Qianxiang Yokota, Rio

Source: International Journal of High Performance Computing Applications; Jul2024, Vol. 38 Issue 4, p314-336, 23p

Subject Terms: MATRIX decomposition, LINEAR systems, FACTORIZATION, ALGORITHMS

Convergence analysis for column-action methods in image reconstruction.

Authors: Elfving, Tommy Hansen, Per Nikazad, Touraj

Source: Numerical Algorithms; Mar2017, Vol. 74 Issue 3, p905-924, 20p

Subject Terms: COMPUTED tomography, STOCHASTIC convergence, IMAGE reconstruction, ITERATIVE methods (Mathematics), SPECTRAL counterparts

Randomized sketch descent methods for non-separable linearly constrained optimization.

Authors: Necoara, Ion Takáč, Martin

Source: IMA Journal of Numerical Analysis; Apr2021, Vol. 41 Issue 2, p1056-1092, 37p

Subject Terms: GENEALOGY, EXPECTED returns, SMOOTHNESS of functions, MATHEMATICAL optimization, CONSTRAINED optimization, ALGORITHMS, NONSMOOTH optimization

Quantitative Assessment of Seismic Retrofit Strategies for RC School Buildings Using Steel Exoskeletons and Localized Strengthening.

Authors: La Scala, Armando

Source: Infrastructures; Oct2025, Vol. 10 Issue 10, p268, 30p

Subject Terms: REINFORCED concrete, RETROFITTING of buildings, FORECASTING, COST analysis, FINITE element method, STRUCTURAL steel, STRUCTURAL reliability

Non-GPU-resident symmetric indefinite factorization.

Authors: Yamazaki, Ichitaro Tomov, Stanimire Dongarra, Jack

Source: Concurrency & Computation: Practice & Experience; 3/10/2017, Vol. 29 Issue 5, pn/a-N.PAG, 12p

Subject Terms: GRAPHICS processing units, ALGORITHMS, FACTORIZATION, COMPUTER storage devices, MEMORY hierarchy (Computer science)

Algorithms for Sparse Linear Systems

Authors: Jennifer Scott Miroslav Tůma

Resource Type: eBook.

Subjects: Sparse matrices, Linear systems, Algorithms

Categories: MATHEMATICS / Numerical Analysis, COMPUTERS / Computer Science, MATHEMATICS / Algebra / Linear, MATHEMATICS / Applied

SpMV and BiCG-Stab sparse solver on Multi-GPUs for reservoir simulation.

Authors: Al-Mouhamed, Mayez Firdaus, Lutfi Khan, Ayaz H. et al.

Source: Multimedia Tools & Applications; Mar2024, Vol. 83 Issue 8, p23563-23597, 35p

Aggregation of clans to speed-up solving linear systems on parallel architectures.

Authors: Zaitsev, Dmitry A. Shmeleva, Tatiana R. Luszczek, Piotr

Source: International Journal of Parallel, Emergent & Distributed Systems; Apr2022, Vol. 37 Issue 2, p198-219, 22p

Subject Terms: PARALLEL processing, LINEAR systems, MATRIX decomposition, REAL numbers, INTEGRATED software, GRAPH algorithms