A family of variable-metric methods derived by variational means

No abstract is available for this paper.

• Publication year

  1970

• Venue

  Mathematics of Computation

• Publication date

  Unknown publication date

• Fields of study

  Mathematics

• Identifiers
  DOI 10.1090/S0025-5718-1970-0258249-6
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Variations on variable-metric methods. (With discussion)

  1970cited by this paper
• Variations on Variable-Metric Methods

  1970cited by this paper
• Variance Algorithm for Minimization

  1968cited by this paper
• Quasi-Newton methods and their application to function minimisation

  1967influential reference
• A Rapidly Convergent Descent Method for Minimization

  1963influential reference

• Neural network optimization strategies and the topography of the loss landscape

  2026cites this paper
• An Empirical Analysis of the Conditional Variance of Farmland Prices

  2026cites this paper
• Hybrid modelling of heat transfer systems: Combining physics-based and data-driven approaches for improved prediction and extrapolation

  2026cites this paper
• Fast Generation of Pipek-Mezey Wannier Functions via the Co-Iterative Augmented Hessian Method

  2026cites this paper
• Adsorption of phospholipids onto layered silicate surface: The case of clinochlore

  2026cites this paper
• Regional chemical potential analysis for material surfaces.

  2026cites this paper
• A mechanism of defect creation in amorphous Ta2O5

  2026cites this paper
• Improving Minimax Estimation Rates for Contaminated Mixture of Multinomial Logistic Experts via Expert Heterogeneity

  2026cites this paper
• CO-DOSP: A hierarchical optimization-based motion planner for multi-robot manipulation in confined and task-constrained workspace

  2026cites this paper
• Global Light Curve Attitude Estimation with Noisy Measurements and Inertia Uncertainty

  2026cites this paper
• TextBFGS: Quasi-Newton Optimization for Discrete Executable Text via Gradient-Operator Retrieval

  2026cites this paper
• Quantifying the effects of cell death and agar density on yeast colony biofilms using an extensional-flow mathematical model

  2026cites this paper
• Nudged elastic band method in the CRYSTAL code: Theory and Applications.

  2026cites this paper
• Comprehensive DFT study of the optoelectronic and thermomechanical properties of orthorhombic RbBaPO4 for device applications

  2026cites this paper
• A density functional theory study of amino acids on Mg and Mg-based alloys

  2026cites this paper
• Poisson Log-Normal Process for Count Data Prediction

  2026cites this paper
• Differential gene expression analysis via two-component mixture models with a semiparametric skew-normal scale mixture alternative

  2026cites this paper
• Individual different state-based multi-swarm particle swarm optimization

  2026cites this paper
• Corrosion behavior of boride-ferrite composites in simulated groundwater and composition modification for enhanced corrosion resistance

  2026cites this paper
• Investigating the impact of the Covid-19 pandemic on stock markets volatility in USA and Europe

  2026cites this paper
• First-principles investigation on neutral oxygen vacancies and hydrogen passivation mechanism in amorphous silica

  2026cites this paper
• Designing High-Efficiency Cryogenic Regenerators: The Role of Microstructure and Geometry in Magnetocaloric Cooling

  2025cites this paper
• Synthesis, crystal structure, microstructure and electronic properties of new solid solution (Ti1–xTax)3SiC2 MAX‐phases

  2025cites this paper
• Rational design of defect-engineered TMDs: Unlocking active sites for selective capture and catalysis in MoS2, MoSe2, and MoTe2

  2025cites this paper
• Improving Quasi-Newton Methods via Image and Projection Operators

  2025cites this paper
• Benchmarking of Oxygen Adsorption Using TPD Spectroscopy for Accurate DFT Prediction of ORR on Anatase Titanium Dioxide(101)

  2025cites this paper
• Deterministic optimization of Jastrow factors.

  2025cites this paper
• Mechanistic Insights into 5-Fluorouracil Adsorption on Clinoptilolite Surfaces: Optimizing DFT Parameters for Natural Zeolites, Part II

  2025cites this paper
• The energy landscape of folding in n-C14H30 described by a machine-learned potential.

  2025cites this paper
• Enhancing Automation and Interpretability of Vibrational Spectra Predictions for Water Clusters from Diffusion Monte Carlo

  2025cites this paper
• Combining Nonlinear FETI-DP Methods and Quasi-Newton Methods using an SQP Approach

  2025cites this paper
• Enhanced Quantum behavior on frustrated Ising model: Quantum Approximate Optimization Algorithm study

  2025cites this paper
• A trust-region framework for optimization using Hermite kernel surrogate models

  2025cites this paper
• Efficient Stochastic BFGS methods Inspired by Bayesian Principles

  2025influential citation
• Bayesian minimisation of energy consumption in turbulent pipe flow via unsteady driving

  2025cites this paper
• Development of Deep Learning Optimizers: Approaches, Concepts, and Update Rules

  2025cites this paper
• An approximate Riemann solver approach in physics-informed neural networks for hyperbolic conservation laws

  2025cites this paper
• A Quasi-Newton Method to Solve Uncertain Multiobjective Optimization Problems with Uncertainty Set of Finite Cardinality

  2025cites this paper
• Defects at play: Shaping the photophysics and photochemistry of ice.

  2025cites this paper
• Efficient Gradient‐Enhanced Bayesian Optimizer with Comparisons to Conjugate‐Gradient and Quasi‐Newton Optimizers for Unconstrained Local Optimization

  2025cites this paper
• Ball mill synthesized Fe/ZnO nanostructures for dye degradation, heavy metal extraction and light emission applications: Experimental and DFT Perspectives

  2025cites this paper
• Many-body approach to projective solution of generalized operators: Formulation and application to quantum computing.

  2025cites this paper
• Integrated methodology for estimating zero-coupon yield curves: Evidence from Turkish government nominal bonds

  2025cites this paper
• LITMUS: Bayesian lag recovery in reverberation mapping with fast differentiable models

  2025cites this paper
• Convergence rates of regularized quasi-Newton methods without strong convexity

  2025cites this paper
• Comparison of ETAS parameter estimates across different time windows within the North and East Anatolian Fault Zones, Turkey

  2025cites this paper
• Phase-field fracture analysis: A gradient-based line search strategy for the L-BFGS algorithm

  2025cites this paper
• Effect of Cr addition on the bond characteristics of Fe2B: Insights from electron spectrometry and DFT simulations

  2025cites this paper
• Anion adsorption-induced charge separation at the alumina/aluminum interface

  2025cites this paper
• Advanced study of the electronic and thermoelectric properties of AEMSe compounds under compression and tensile strain

  2025cites this paper
• Parameter Estimation and Inference in a Continuous Piecewise Linear Regression Model

  2025cites this paper
• Lanthanum vs samarium doping into hydroxyapatite nanoparticles for bone tissue engineering: Experimental and theoretical investigations

  2025cites this paper
• Geometric Direct Minimization for Low-Spin Restricted Open-Shell Hartree–Fock Theory

  2025cites this paper
• Explaining Performance Gaps with Problem-Solving Process Data via Latent Class Mediation Analysis

  2025cites this paper
• Structural identification of material properties and load parameters using a differentiable material point method

  2025cites this paper
• Polymorph-Induced Reducibility and Electron Trapping Energetics of Nb and W Dopants in TiO2

  2025influential citation
• Electronic properties and carrier mobility of Novel Janus YZrNOS MXene for overall water splitting: A first-principles study

  2025cites this paper
• Simple Stepsize for Quasi-Newton Methods with Global Convergence Guarantees

  2025cites this paper
• Multicomponent diffusion in basaltic melts: A temperature-independent eigenvector matrix, and a multicomponent diffusion calculator

  2025cites this paper
• On Global Rates for Regularization Methods based on Secant Derivative Approximations

  2025cites this paper
• Inverse analysis of patient-specific parameters of a 3D–0D closed-loop cardiovascular model with an exemplary application to an adult tetralogy of Fallot case

  2025cites this paper
• Slice-wise initial state optimization to improve cost and accuracy of the VQE on lattice models

  2025cites this paper
• Enhancing Accuracy of Quantum-Selected Configuration Interaction Calculations Using Multireference Perturbation Theory: Application to Aromatic Molecules

  2025cites this paper
• Phonon thermal transport in two-dimensional gallium nitride: Role of higher-order phonon–phonon and phonon–electron scattering

  2025cites this paper
• Estimation of trajectory of COVID-19 vaccines effectiveness against infection.

  2025cites this paper
• A practical guide to optimizing industrial thermal spraying through comparative multi-objective optimization

  2025cites this paper
• Acoustic black hole with functionally graded perforated rings and sound absorbing layers: Theory and experiments

  2025cites this paper
• Identification of the thermal conductivity evolution of polypropylene during crystallization

  2025cites this paper
• A Quasi-Newton Method for a Mean Variance Estimation Network

  2025cites this paper
• The QCML dataset, Quantum chemistry reference data from 33.5M DFT and 14.7B semi-empirical calculations

  2025cites this paper
• A modified exponentiated inverted Weibull distribution using Modi family

  2025cites this paper
• qNBO: quasi-Newton Meets Bilevel Optimization

  2025cites this paper
• Geodetic data inversion to estimate a strain-rate field by introducing sparse modeling

  2025influential citation
• Optimizing the optimizer for physics-informed neural networks and Kolmogorov-Arnold networks

  2025cites this paper
• Enhanced Visible Light Response in Engineered Strontium Iodide Monolayer for Optoelectronic Applications

  2025cites this paper
• Modeling Above-Ground Biomass in Eucalyptus Globulus and Eucalyptus Nitens Incorporating Explicit Multivariate Uncertainty

  2025cites this paper
• Speeding up L-BFGS by direct approximation of the inverse Hessian matrix

  2025cites this paper
• Optimization via quantum preconditioning

  2025cites this paper
• Structural, electronic, vibrational, optical, piezoelectric, thermal and thermoelectric properties of BCZT from first-principles calculations.

  2025cites this paper
• A method for determining machine configurations for multidirectional pin-on-plate wear testing

  2025cites this paper
• Quantum Circuit Synthesis Using Fuzzy-Logic-Assisted Genetic Algorithms

  2025cites this paper
• General form of the Gauss-Seidel equation to linearly approximate the Moore-Penrose pseudoinverse in random non-square systems and high order tensors

  2025cites this paper
• Addressing model discrepancy in a clinical model of the oxygen dissociation curve

  2025cites this paper
• Copula-Based Bayesian Model for Detecting Differential Gene Expression

  2025cites this paper
• Representation Meets Optimization: Training PINNs and PIKANs for Gray-Box Discovery in Systems Pharmacology

  2025cites this paper
• Deriving the Gradients of Some Popular Optimal Transport Algorithms

  2025cites this paper
• Rapid passage to ordered states in Rydberg atom arrays

  2025cites this paper
• Distributed Quasi-Newton Algorithm for Non-Randomly Stored Data

  2025cites this paper
• An evolutionary extreme learning machine algorithm for multi-cube unit single-layer neural networks

  2025cites this paper
• First-Principles Calculations Of Structural, Electronic, And Optical Properties Of Spinel 〖Zn〗_2 MO_4 (M= Ti, Si, Pb)

  2025cites this paper
• Unlocking the Potential of 2D Material-Based Charge Transport Layers for Flexible Lead-Free CsSnBr3 Perovskite Solar Cells

  2025cites this paper
• Incorporating Preconditioning into Accelerated Approaches: Theoretical Guarantees and Practical Improvement

  2025cites this paper
• MACS: Multi-Agent Reinforcement Learning for Optimization of Crystal Structures

  2025cites this paper
• A gradient-optimized least-squares reverse time migration based on the safe type-I anderson acceleration

  2025cites this paper
• StreamSoNGv2: Online Classification of Data Streams Using Growing Neural Gas

  2025cites this paper
• Frequency-modulation atomic force microscopy observation of 1T-TaS2 in the nearly commensurate charge density wave phase

  2025cites this paper
• Strain driven modulations in electronic, optical properties and photovoltaic efficiencies of 2D AH (A = Si, Ge) monolayers: An account from first-principles study

  2025cites this paper
• Comprehensive interaction modeling with machine learning improves prediction of disease risk in the UK Biobank

  2025cites this paper
• Affine-Invariant Global Non-Asymptotic Convergence Analysis of BFGS under Self-Concordance

  2025cites this paper
• Identity‐By‐Descent Mapping Using Multi‐Individual IBD With Genome‐Wide Multiple Testing Adjustment

  2025cites this paper