The Quasi-Cauchy Relation and Diagonal Updating
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Publication:4702329
DOI10.1137/S1052623498331793zbMath1013.90137MaRDI QIDQ4702329
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Publication date: 24 November 1999
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
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Related Items (21)
Derivative-free method based on DFP updating formula for solving convex constrained nonlinear monotone equations and application ⋮ Scaling damped limited-memory updates for unconstrained optimization ⋮ Dynamic scaling on the limited memory BFGS method ⋮ A modified quasi‐Newton diagonal update algorithm for total variation denoising problems and nonlinear monotone equations with applications in compressive sensing ⋮ A diagonal quasi-Newton updating method based on minimizing the measure function of Byrd and Nocedal for unconstrained optimization ⋮ Nonmonotone diagonally scaled limited-memory BFGS methods with application to compressive sensing based on a penalty model ⋮ Diagonal approximation of the Hessian by finite differences for unconstrained optimization ⋮ A diagonal quasi-Newton updating method for unconstrained optimization ⋮ Robust federated learning under statistical heterogeneity via hessian-weighted aggregation ⋮ A NONMONOTONE ADMM-BASED DIAGONAL QUASI-NEWTON UPDATE WITH APPLICATION TO THE COMPRESSIVE SENSING PROBLEM ⋮ Multi-step spectral gradient methods with modified weak secant relation for large scale unconstrained optimization ⋮ A New Diagonal Quasi-Newton Updating Method With Scaled Forward Finite Differences Directional Derivative for Unconstrained Optimization ⋮ Diagonal quasi-Newton methods via least change updating principle with weighted Frobenius norm ⋮ A new accelerated diagonal quasi-Newton updating method with scaled forward finite differences directional derivative for unconstrained optimization ⋮ A class of diagonal quasi-Newton methods for large-scale convex minimization ⋮ A class of diagonal preconditioners for limited memory BFGS method ⋮ Nonmonotone adaptive trust region method with line search based on new diagonal updating ⋮ A structured quasi-Newton algorithm with nonmonotone search strategy for structured NLS problems and its application in robotic motion control ⋮ Diagonal quasi-Newton method via variational principle under generalized Frobenius norm ⋮ An adaptive nonmonotone trust region method based on a modified scalar approximation of the Hessian in the successive quadratic subproblems ⋮ Diagonal BFGS updates and applications to the limited memory BFGS method
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