- Reducing Memory Requirements of Quantum Optimal Control
2022/03/23 by Sri Hari Krishna Narayanan, Thomas Propson, Narayanan, Sri Hari Krishna +7 · 1 citation
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Control Systems Optimization #Algorithm #Benchmark (surveying) #Computer science #Conjugate gradient method #FOS: Mathematics #FOS: Physical sciences #Inverse #Mathematical optimization #Mathematics #Optimal control #Optimization and Control (math.OC) #Parallel computing #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum control #Qubit #Transpose #Unitary state #math.OC #quant-ph
- Compact Quasi-Newton preconditioners for SPD linear systems
2020/01/04 by Luca Bergamaschi, Bergamaschi, Luca, J. Marı́n +5 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Optimization Algorithms Research #Algorithm #Applied mathematics #Broyden–Fletcher–Goldfarb–Shanno algorithm #Combinatorics #Computer science #Conjugate gradient method #Eigenvalues and eigenvectors #Electromagnetic Scattering and Analysis #FOS: Mathematics #Iterative method #Jacobian matrix and determinant #Linear system #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Matrix Theory and Algorithms #Newton's method #Nonlinear system #Numerical Analysis (math.NA) #Physics #Positive-definite matrix #Preconditioner #Quasi-Newton method #Rank (graph theory) #Sequence (biology) #cs.NA #math.NA
- A Modified Hestenes and Stiefel Conjugate Gradient Algorithm for Large-Scale Nonsmooth Minimizations and Nonlinear Equations
2015/07/20 by Gonglin Yuan, Zehong Meng, Yong Li · 11 citations
Computer Science · Engineering · Mathematics · #Advanced Optimization Algorithms Research #Algorithm #Applied mathematics #Computer science #Conjugate gradient method #Conjugate residual method #Convergence (economics) #Convex optimization #Derivation of the conjugate gradient method #Dimension (graph theory) #Geometry #Gradient descent #Gradient method #Mathematical optimization #Mathematics #Nonlinear conjugate gradient method #Nonlinear system #Optimization and Variational Analysis #Proximal Gradient Methods #Regular polygon #Scale (ratio) #Sparse and Compressive Sensing Techniques #Theory of computation #Trust region
- A Modified Self-Scaling Memoryless Broyden–Fletcher–Goldfarb–Shanno Method for Unconstrained Optimization
2014/03/18 by C. X. Kou, Chunyu Kou, Y. H. Dai · 3 citations
Engineering · Mathematics · #Advanced Optimization Algorithms Research #Algorithm #Applied mathematics #Artificial intelligence #Broyden–Fletcher–Goldfarb–Shanno algorithm #Computer science #Conjugate gradient method #Convergence (economics) #Gradient descent #Gradient method #Iterative Methods for Nonlinear Equations #Mathematical optimization #Mathematics #Newton's method #Nonlinear conjugate gradient method #Nonlinear system #Quasi-Newton method #Sparse and Compressive Sensing Techniques #Theory of computation
- Seismic imaging of complex onshore structures by 2D elastic frequency-domain full-waveform inversion
2009/01/01 by Romain Brossier, Stéphane Operto, S. Operto +2 · 12 citations
Earth and Planetary Sciences · Engineering · #Algorithm #Artificial neural network #Computer science #Conjugate gradient method #Drilling and Well Engineering #Geology #Inversion (geology) #Nonlinear conjugate gradient method #Nonlinear system #Physics #Seismic Imaging and Inversion Techniques #Seismic Waves and Analysis #Seismology #Surface wave #Synthetic data #Telecommunications
- A Randomized Kaczmarz Algorithm with Exponential Convergence
2008/04/24 by Thomas Strohmer, Roman Vershynin · 3 citations
Computer Science · Engineering · Mathematics · #Algorithm #Applied mathematics #Computer science #Conjugate gradient method #Context (archaeology) #Convergence (economics) #Linear system #Markov Chains and Monte Carlo Methods #Mathematical analysis #Mathematical optimization #Mathematics #Overdetermined system #Rate of convergence #Solver #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques
- A Petrov-Galerkin type method for solving Axk=b, where A is symmetric complex
1990/03/01 by H.A. van der Vorst, J.B.M. Melissen · 10 citations
Computer Science · Materials Science · Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #Complex conjugate #Conjugate gradient method #Convergence (economics) #Discretization #Eddy current #Eigenvalues and eigenvectors #Finite element method #Hermitian matrix #Invertible matrix #Magnetic Properties and Applications #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Matrix Theory and Algorithms #Model Reduction and Neural Networks #Petrov–Galerkin method #Physics #Positive-definite matrix #Pure mathematics #Recursion (computer science)
- Restart procedures for the conjugate gradient method
1977/12/01 by M. J. D. Powell · 2 citations
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Algorithm #Applied mathematics #Artificial neural network #Computer science #Conjugate gradient method #Conjugate residual method #Convergence (economics) #Derivation of the conjugate gradient method #Function (biology) #Gradient descent #Gradient method #Iterative Methods for Nonlinear Equations #Iterative method #Mathematical analysis #Mathematical optimization #Mathematics #Nonlinear conjugate gradient method #Numerical analysis #Optimization and Variational Analysis #Rate of convergence
- Multiplier and gradient methods
1969/11/01 by Magnus R. Hestenes · 190 citations
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Algorithm #Applied mathematics #Computer science #Conjugate gradient method #Conjugate residual method #Constant (computer programming) #Gradient descent #Gradient method #Iterative Methods for Nonlinear Equations #Lagrange multiplier #Mathematical analysis #Mathematical optimization #Mathematics #Matrix Theory and Algorithms #Maxima and minima #Multiplier (economics) #Theory of computation
- Function minimization by conjugate gradients
1964/02/01 by R. Fletcher · 100 citations
Mathematics · #Advanced Optimization Algorithms Research #Algorithm #Applied mathematics #Computer science #Conjugate gradient method #Convergence (economics) #Function (biology) #Iterative Methods for Nonlinear Equations #Mathematical optimization #Mathematics #Minification #Numerical methods in inverse problems #Physics #Quadratic growth #Simplicity #Space (punctuation)