Search Results - two-sided factorization algorithms

Performance Analysis and Optimisation of Two-sided Factorization Algorithms for Heterogeneous Platform

Authors: Jack Dongarra Azzam Haidar Khairul Kabir et al.

Source: Procedia Computer Science. 51:180-190

Subject Terms: Xeon Phi, Multicore, Eigensolver, 0101 mathematics, 01 natural sciences, Task-based programming

Access URL: https://core.ac.uk/display/82115526
http://www.sciencedirect.com/science/article/pii/S1877050915010303
http://icl.cs.utk.edu/news_pub/submissions/magma_mic_two_sided.pdf
https://dblp.uni-trier.de/db/conf/iccS/iccS2015.html#KabirHTD15
https://www.sciencedirect.com/science/article/pii/S1877050915010303
http://www.netlib.org/utk/people/JackDongarra/PAPERS/1-s2.0-S1877050915010303-main.pdf

Performance Analysis and Optimisation of Two-sided Factorization Algorithms for Heterogeneous Platform.

Authors: Kabir, Khairul Haidar, Azzam Tomov, Stanimire et al.

Source: Procedia Computer Science. 2015, Vol. 51, p180-190. 11p.

Subject Terms: Factorization, Performance evaluation, Nanostructures, Mathematical optimization, Algorithms, Singular value decomposition

Silent Data Corruption Resilient Two-sided Matrix Factorizations

Authors: Zizhong Chen Xin Liang Qiang Guan et al.

Source: Proceedings of the 22nd ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming. :415-427

Subject Terms: 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 01 natural sciences

Accelerating the SVD bi-diagonalization of a batch of small matrices using GPUs

Authors: Tingxing Dong Azzam Haidar Jack Dongarra et al.

Source: Dong, T, Haidar, A, Tomov, S & Dongarra, J 2018, 'Accelerating the SVD Bidiagonalization of a Batch of Small Matrices using GPUs', Journal of Computational Science, vol. 26, pp. 237-245. https://doi.org/10.1016/j.jocs.2018.01.007

Subject Terms: Batched, Numerical linear algebra, 0202 electrical engineering, electronic engineering, information engineering, Two-sided factorization algorithms, 02 engineering and technology, Hardware accelerators, Eigenvalue and singular value problems

File Description: application/pdf

Access URL: https://www.research.manchester.ac.uk/portal/files/65822562/1_s2.0_S187775031731150X_main.pdf
https://www.research.manchester.ac.uk/portal/files/65822562/1_s2.0_S187775031731150X_main.pdf
https://www.sciencedirect.com/science/article/pii/S187775031731150X#!
https://www.research.manchester.ac.uk/portal/en/publications/accelerating-the-svd-bidiagonalization-of-a-batch-of-small-matrices-using-gpus(52d77474-7ce1-47eb-9ae2-c010a09f2355).html
https://www.sciencedirect.com/science/article/pii/S187775031731150X
https://doi.org/10.1016/j.jocs.2018.01.007
https://www.icl.utk.edu/publications/accelerating-svd-bi-diagonalization-batch-small-matrices-using-gpus

Optimizing the SVD Bidiagonalization Process for a Batch of Small Matrices

Authors: Jack Dongarra Tingxing Dong Stanimire Tomov et al.

Source: Dong, T, Haidar, A, Tomov, S & Dongarra, J 2017, Optimizing the SVD Bidiagonalization Process for a Batch of Small Matrices. in Procedia Computer Science. vol. 108, pp. 1008-1018. https://doi.org/10.1016/j.procs.2017.05.237

Subject Terms: two-sided factorization algorithms, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Hardware accelerators, 0101 mathematics, batched, Singular Value Problems, 01 natural sciences

File Description: application/pdf

Access URL: https://research.manchester.ac.uk/en/publications/d652df67-1aa0-4b67-b45c-8b7f9db562d6
https://doi.org/10.1016/j.procs.2017.05.237
https://www.sciencedirect.com/science/article/pii/S1877050917308645
https://www.icl.utk.edu/publications/optimizing-svd-bidiagonalization-process-batch-small-matrices
https://www.icl.utk.edu/files/publications/2017/icl-utk-953-2017.pdf
https://www.research.manchester.ac.uk/portal/files/57088796/optimizing_the_svd.pdf
https://core.ac.uk/display/83923148
https://www.sciencedirect.com/science/article/abs/pii/S1877050917308645
https://research.manchester.ac.uk/en/publications/d652df67-1aa0-4b67-b45c-8b7f9db562d6
https://pure.manchester.ac.uk/ws/files/57088796/optimizing_the_svd.pdf
https://doi.org/10.1016/j.procs.2017.05.237

Efficient pre-processing in the parallel block-Jacobi SVD algorithm

Authors: Okša, Gabriel Vajteršic, Marián

Source: Parallel Computing. Feb2006, Vol. 32 Issue 2, p166-176. 11p.

Subject Terms: *ALGORITHMS, *FACTORIZATION, *MATRICES (Mathematics), *PERSONAL computers

Globality constrained adaptive graph regularized non‐negative matrix factorization for data representation.

Authors: Sun, Yanfeng Wang, Jie Guo, Jipeng et al.

Source: IET Image Processing (Wiley-Blackwell); Aug2022, Vol. 16 Issue 10, p2577-2592, 16p

Subject Terms: MATRIX decomposition, NONNEGATIVE matrices, GRAPH algorithms, COMPUTATIONAL complexity, FACTORIZATION, CHARTS, diagrams, etc.

Accelerating the SVD bi-diagonalization of a batch of small matrices using GPUs.

Authors: Dong, Tingxing Haidar, Azzam Tomov, Stanimire et al.

Source: Journal of Computational Science. May2018, Vol. 26, p237-245. 9p.

Subject Terms: Singular value decomposition, Graphics processing units, Software versioning, Linear algebra, Factorization

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

PROBABILISTIC ROUNDING ERROR ANALYSIS OF HOUSEHOLDER QR FACTORIZATION.

Authors: CONNOLLY, MICHAEL P. HIGHAM, NICHOLAS J.

Source: SIAM Journal on Matrix Analysis & Applications. 2023, Vol. 44 Issue 3, p1146-1163. 18p.

Subject Terms: *NUMERICAL solutions for linear algebra, *MATRIX inequalities, *SQUARE root, *ERROR rates, *FLOATING-point arithmetic, *FACTORIZATION

Exact Matrix Factorization Updates for Nonlinear Programming.

Authors: Escobedo, Adolfo R.

Source: INFORMS Journal on Computing; Jan/Feb2024, Vol. 36 Issue 1, p245-265, 21p

Subject Terms: MATRIX decomposition, LINEAR programming, DATA libraries, MATHEMATICAL programming, LINEAR equations, NONLINEAR programming, INTEGER programming

A new clustering: Angiogenesis‐associated molecular classification of lung adenocarcinoma.

Authors: Zhu, Lin Zhu, Li Nie, Kai et al.

Source: View (2688-268X); Oct2025, Vol. 6 Issue 5, p1-19, 19p

Subject Terms: LUNG tumors, NEOVASCULARIZATION, MOLECULAR recognition, GENES, MATRIX decomposition, SURVIVAL analysis (Biometry)

A Novel Adaptive Low-Rank Matrix Approximation Method for Image Compression and Reconstruction.

Authors: Xu, Weiwei Shen, Weijie Liu, Chang et al.

Source: SIAM Journal on Imaging Sciences; 2025, Vol. 18 Issue 4, p2127-2158, 32p

Optimizing the SVD Bidiagonalization Process for a Batch of Small Matrices.

Authors: Dong, Tingxing Haidar, Azzam Tomov, Stanimire et al.

Source: Procedia Computer Science. 2017, Vol. 108, p1008-1018. 11p.

Subject Terms: Graphics processing units, Singular value decomposition, Mathematical optimization, Factorization, Linear algebra, Subroutines (Computer programs)

On Nonnegative Matrix Factorization Algorithms for Signal-Dependent Noise with Application to Electromyography Data.

Authors: Devarajan, Karthik Cheung, Vincent C. K.

Source: Neural Computation; Jun2014, Vol. 26 Issue 6, p1128-1168, 41p, 5 Charts, 10 Graphs

Subject Terms: ELECTROMYOGRAPHY, NONNEGATIVE matrices, ALGORITHMS, FACTORIZATION, NEUROSCIENCES, COMPUTATIONAL biology, NATURAL language processing, NOISE

Modifying Two-Sided Orthogonal Decompositions: Algorithms Implementation, and Applications.

Authors: PENNSYLVANIA STATE UNIV UNIVERSITY PARK APPLIED RESEARCH LAB Yoon, Peter A.

Source: DTIC AND NTIS

Index Terms: Operations Research, ALGORITHMS, MATHEMATICAL PROGRAMMING, MATHEMATICAL MODELS, SIGNAL PROCESSING, IMAGE PROCESSING, STABILITY, COMPUTATIONS, DATA MANAGEMENT, DISTRIBUTED DATA PROCESSING, PERFORMANCE(ENGINEERING), MATRICES(MATHEMATICS), ACCURACY, EFFICIENCY, PARALLEL PROCESSING, TRANSFORMATIONS(MATHEMATICS), ERROR ANALYSIS, LEAST SQUARES METHOD, PERTURBATION THEORY, MULTIPROCESSORS, PATTERN RECOGNITION, SUBROUTINES, LINEAR REGRESSION ANALYSIS, DECOMPOSITION, ORTHOGONALITY., PARTITIONING, FACTORIZATION, MIMD(MULTIPLE INSTRUCTION MULTIPLE DATA), Text

URL: https://apps.dtic.mil/docs/citations/ADA302269

The antitriangular factorization of skew-symmetric matrices

Authors: Singer, Sanja

Index Terms: Mathematics - Numerical Analysis, 15A23 (Primary) 15B57, 65F30 (Secondary), text

URL: http://arxiv.org/abs/1909.00092

On iterative QR pre-processing in the parallel block-Jacobi SVD algorithm

Authors: Bečka, Martin Okša, Gabriel Vajteršic, Marián et al.

Source: Parallel Computing. Jun2010, Vol. 36 Issue 5/6, p297-307. 11p.

Subject Terms: *ITERATIVE methods (Mathematics), *ALGORITHMS, *SINGULAR value decomposition, *MATRICES (Mathematics), *FACTORIZATION, *DISTRIBUTION (Probability theory), *NP-complete problems, *MATHEMATICAL symmetry

iMLGAM: Integrated Machine Learning and Genetic Algorithm‐driven Multiomics analysis for pan‐cancer immunotherapy response prediction.

Authors: Ye, Bicheng Fan, Jun Xue, Lei et al.

Source: iMeta; Apr2025, Vol. 4 Issue 2, p1-21, 21p

A Look-Ahead Lanczos Algorithm for Unsymmetric Matrices

Authors: Parlett, Beresford N. Taylor, Derek R. Liu, Zhishun A.

Source: Mathematics of Computation, 1985 Jan 01. 44(169), 105-124.

Access URL: https://www.jstor.org/stable/2007796