Smooth and Semismooth Newton Methods for Constrained Approximation and Estimation
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Publication:2895679
DOI10.1080/01630563.2011.653071zbMath1297.90160OpenAlexW2020671867MaRDI QIDQ2895679
Liqun Qi, Chen Ling, Hong-Xia Yin
Publication date: 4 July 2012
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2011.653071
Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
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Cites Work
- No-arbitrage interpolation of the option price function and its reformulation
- On almost smooth functions and piecewise smooth functions
- Shape-preserving interpolation and smoothing for options market implied volatility
- Constrained \(L_ p\) approximation
- Constrained interpolation and smoothing
- Density estimation in Besov spaces
- Partially finite convex programming. I: Quasi relative interiors and duality theory
- On 'best' interpolation
- \(L_ p\)-spectral estimation with an \(L_ \infty\)-upper bound
- Probability density estimation from dependent observations using wavelets orthonormal bases
- Differentiability and semismoothness properties of integral functions and their applications
- Best interpolation with convex constraints
- A strongly semismooth integral function and its application
- Density estimation by wavelet thresholding
- Quadratic convergence of Newton's method for convex interpolation and smoothing
- A globally convergent Newton method for convex \(SC^ 1\) minimization problems
- Formulae for mean integrated squared error of nonlinear wavelet-based density estimators
- A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities
- A nonsmooth version of Newton's method
- Convergence rate of Newton's method for \(L_2\) spectral estimation
- Remarks on Some Nonparametric Estimates of a Density Function
- Spectral estimation for sensor arrays
- Optimization and nonsmooth analysis
- A simple constraint qualification in infinite dimensional programming
- $L_2 $ Spectral Estimation
- Smoothing and Interpolation in a Convex Subset of a Hilbert Space
- Duality and well-posedness in convex interpolation∗)
- A Dual Approach to Multidimensional $L_p$ Spectral Estimation Problems
- Duality Relationships for Entropy-Like Minimization Problems
- Fenchel and Lagrange duality are equivalent
- Semismooth and Semiconvex Functions in Constrained Optimization
- Semismooth Karush-Kuhn-Tucker Equations and Convergence Analysis of Newton and Quasi-Newton Methods for Solving these Equations
- Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities
- Maximum entropy and maximum likelihood in spectral estimation
- Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
- A Newton Method for Shape-Preserving Spline Interpolation
- Piecewise Smoothness, Local Invertibility, and Parametric Analysis of Normal Maps
- Best Approximation from the Intersection of a Closed Convex Set and a Polyhedron in Hilbert Space, Weak Slater Conditions, and the Strong Conical Hull Intersection Property
- A Nonparametric Estimate of a Multivariate Density Function
- Best approximation in inner product spaces
- A further result on an implicit function theorem for locally Lipschitz functions
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