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LOBPCG

Locally Optimal Block Preconditioned Conjugate Gradient (LOBPCG) is a matrix-free method for finding the largest (or smallest) eigenvalues and the corresponding eigenvectors of a symmetric generalized eigenvalue problem

Applications, General software implementations & Overview

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Overview

Background

Main features

Convergence theory and practice

Partial Principal component analysis (PCA) and Singular Value Decomposition (SVD)

General software implementations

Applications

Advanced semantic analysis

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Map overview Semantic statistics

LOBPCG

Nodes132
Edges131
Triples112
Avg. degree1.98
Density0.015152
Components1

How this topic connects Entity context

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LOBPCG

Top relations

related to General software implementations · 28
LOBPCG → Anasazi, Andrew Knyazev, Block Locally Optimal Preconditioned, BLOPEX, CUDA, CuPy, Eigenvalue Xolvers, GNU Octave, Google JAX, Java, Julia, LOBPCG's, MAGMA, MATLAB, NumPy-compatible, NVIDIA AMGX, OpenACC, OpenMP, Other, Parallel Hierarchical Adaptive MultiLevel
related to Material sciences · 22
LOBPCG → ABINIT, ACE-Molecule, CUDA, DFT, Earth Simulator, Gordon Bell Prize, GPU, Hamiltonian, Hubbard, It, Japan, Julia, Kohn-Sham, LACONIC, MATLAB, MFDn, Octopus, Platypus, QM, Recent
related to Maxwell's equations · 13
LOBPCG → BLAST, CEED, Center, Efficient Exascale Discretizations, Exascale, FASTMath, MFEM, Netgen/NGSolve, Project, PYFEMax, SciDAC, VisIt, XBraid
related to Mechanics and fluids · 11
LOBPCG → ANSYS, BDDC, BDDCML, BLOPEX, Constraints, Flow123d, LS-DYNA, Multilevel Balancing Domain Decomposition, Open Finite, OpenFTL, Template Library
related to External links · 10
LOBPCG → Block Locally Optimal Preconditioned, BLOPEX, Eigenvalue Xolvers, GitHub, Google Code, Google CodeLOBPCG, Java, MATLABLOBPCG, OctaveLOBPCG, SciPyLOBPCG
related to Convergence theory and practice · 8
LOBPCG → Every, For, Gaussian, Moreover, Rayleigh, The, Thus, To
related to Data mining · 8
LOBPCG → Anasazi, CUDA, GPUs, Laplacian, Megaman, NVIDIA, Software, Sphynx
related to Partial Principal component analysis (PCA) and Singular Value Decomposition (SVD) · 6
LOBPCG → DT, DTD, PCA, SciPy, SVD, The
related to Image segmentation · 5
LOBPCG → Image, Laplacian, Python, SciPy, The
related to Denoising · 1
LOBPCG → Iterative LOBPCG-based

Important terminology Word statistics

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Important terminology

eigenvalue displaystyle method block eigenvectors matrix rayleigh convergence iterative preconditioned gradient subspace eigenvector vectors version quotient every locally optimal single-vector

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
LOBPCGrelated to Convergence theory and practiceRayleigh0.60section
LOBPCGrelated to Convergence theory and practiceEvery0.60section
LOBPCGrelated to Convergence theory and practiceThus0.60section
LOBPCGrelated to Convergence theory and practiceThe0.60section
LOBPCGrelated to Convergence theory and practiceFor0.60section
LOBPCGrelated to Convergence theory and practiceMoreover0.60section
LOBPCGrelated to Convergence theory and practiceGaussian0.60section
LOBPCGrelated to Convergence theory and practiceTo0.60section
LOBPCGrelated to Data miningSoftware0.60section
LOBPCGrelated to Data miningMegaman0.60section
LOBPCGrelated to Data miningLaplacian0.60section
LOBPCGrelated to Data miningNVIDIA0.60section

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