An SQP method for mathematical programs with vanishing constraints with strong convergence properties. [PDF]
Benko M, Gfrerer H.
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OPTIMAL COMPUTATIONAL AND STATISTICAL RATES OF CONVERGENCE FOR SPARSE NONCONVEX LEARNING PROBLEMS. [PDF]
Wang Z, Liu H, Zhang T.
europepmc +1 more source
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Real Algebraic Geometry with a View toward Koopman Operator Methods
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Convergence of the Peaceman-Rachford Splitting Method for a Class of Nonconvex Programs
Numerical Mathematics: Theory, Methods and Applications, 2021In this paper, we analyze the convergence of the Peaceman-Rachford splitting method (PRSM) for a type of nonconvex and nonsmooth optimization with linear constraints, whose objective function is the sum of a proper lower semicontinuous function and a ...
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Mixed-integer Nonlinear Optimization: a hatchery for modern mathematics
Oberwolfach Reports, 2020The second MFO Oberwolfach Workshop on Mixed-Integer Nonlinear Programming (MINLP) took place between 2nd and 8th June 2019. MINLP refers to one of the hardest Mathematical Programming (MP) problem classes, involving both nonlinear functions as well as ...
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On Variational-Like Inequalities and Global Minimization Problem
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Numerical performance of a descent conjugate gradient algorithm
, 2020We present a modification of the conjugate gradient (CG) algorithm. The proposed method is based on adapting the approach of a three-term CG hybridized linearly with a spectral-scaling memoryless BFGS update.
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Mixed-integer Nonlinear Optimization: A Hatchery for Modern Mathematics
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An ℓq- Seminorm Variational Model for Impulse Noise Reduction
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