SU\G(𝔾)/K·U
Mathematics â€ș Numerical Analysis

Advanced Optimization Algorithms Research

Works Count: 43062

Description

This cluster of papers covers advances in numerical optimization techniques, including topics such as benchmarking optimization software, semidefinite programming, global optimization, derivative-free optimization, and the application of sum of squares techniques. It also explores interior-point methods, quadratic programming, and mixed-integer nonlinear programs.

Keywords

Optimization Software; Semidefinite Programming; Global Optimization; Nonlinear Programming; Interior-Point Methods; Derivative-Free Optimization; Quadratic Programming; Convex Optimization; Mixed-Integer Nonlinear Programs; Sum of Squares Techniques

Most Cited Works

Action Title Date Authors
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An introduction to functional grammar 1986-06-01 G. David Morley
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Finite-Dimensional Variational Inequalities and Complementarity Problems 2004-01-01 Francisco Facchinei Jong‐Shi Pang
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Nonlinear Functional Analysis and its Applications 1990-01-01 Eberhard Zeidler
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Nonlinear Functional Analysis 1985-01-01 Klaus Deimling
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Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods 1994-01-01 Richard Frederick Barrett Michael Berry Tony F. Chan James Demmel J.M. Donato Jack Dongarra Victor Eijkhout Roldan Pozo C.H. Romine Henk van der Vorst
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Constrained Optimization and Lagrange Multiplier Methods 1982-01-01 Dimitri P. Bertsekas
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Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones 1999-01-01 J.F. Sturm
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Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming 1995-11-01 Michel X. Goemans David P. Williamson
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Semidefinite Relaxation of Quadratic Optimization Problems 2010-04-23 Zhi‐Quan Luo Wing‐Kin Ma Anthony Man–Cho So Yinyu Ye Shuzhong Zhang
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A Limited Memory Algorithm for Bound Constrained Optimization 1995-09-01 Richard H. Byrd Peihuang Lu Jorge Nocedal Ciyou Zhu
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Algorithm 778: L-BFGS-B 1997-12-01 Ciyou Zhu Richard H. Byrd Peihuang Lu Jorge Nocedal
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Conditioning of quasi-Newton methods for function minimization 1970-01-01 David F. Shanno
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Nonlinear Multiobjective Optimization 1998-01-01 Kaisa Miettinen
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Function minimization by conjugate gradients 1964-02-01 R. Fletcher
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A Rapidly Convergent Descent Method for Minimization 1963-08-01 R. Fletcher M. J. D. Powell
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Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions 1998-01-01 Jeffrey C. Lagarias James A. Reeds Margaret H. Wright Paul E. Wright
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Optimization of Control Parameters for Genetic Algorithms 1986-01-01 John J. Grefenstette
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Sparse Approximate Solutions to Linear Systems 1995-04-01 B. K. Natarajan
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A family of variable-metric methods derived by variational means 1970-01-01 Donald Goldfarb
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Monotone Operators and the Proximal Point Algorithm 1976-08-01 R. T. Rockafellar
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Partitioning procedures for solving mixed-variables programming problems 1962-12-01 J. F. Benders
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On the limited memory BFGS method for large scale optimization 1989-08-01 Cheng‐Di Dong Jorge Nocedal
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On the Douglas—Rachford splitting method and the proximal point algorithm for maximal monotone operators 1992-04-01 Jonathan Eckstein Dimitri P. Bertsekas
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Convex Analysis and Monotone Operator Theory in Hilbert Spaces 2017-01-01 Heinz H. Bauschke Patrick L. Combettes
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The method of moving asymptotes—a new method for structural optimization 1987-02-01 Krister Svanberg
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An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds 1996-05-01 Thomas F. Coleman Yuying Li
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Two-Point Step Size Gradient Methods 1988-01-01 Jonathan Barzilai Jonathan M. Borwein
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A new approach to variable metric algorithms 1970-03-01 R. Fletcher
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Algorithms for Minimization Without Derivatives 1974-07-01 G. Giftson Samuel Richard P. Brent
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Handbook of Mathematical Functions. 1966-12-01 Juliette Florentin Milton Abramowitz Irene A. Stegun
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LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares 1982-03-01 Christopher C. Paige Michael A. Saunders
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A Singular Value Thresholding Algorithm for Matrix Completion 2010-01-01 Jian‐Feng Cai Emmanuel J. Candùs Zuowei Shen
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Graph Implementations for Nonsmooth Convex Programs 2007-12-01 Michael C. Grant Stephen Boyd
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An efficient method for finding the minimum of a function of several variables without calculating derivatives 1964-02-01 M. J. D. Powell
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Handbook of Mathematical Functions 1966-02-01 Donald A. McQuarrie
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On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming 2005-04-28 Andreas WĂ€chter Lorenz T. Biegler
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Linear Programming and Extensions 1963-01-01 George B. Dantzig
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Benchmarking optimization software with performance profiles 2002-01-01 Elizabeth D. Dolan Jorge J. MorĂš
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No free lunch theorems for optimization 1997-04-01 David H. Wolpert William G. Macready
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Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems 1992-03-01 H.A. van der Vorst
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Linear and nonlinear programming. 1986-02-01
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Convex Optimization 2004-03-01 Stephen Boyd Lieven Vandenberghe
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Solving Least Squares Problems. 1977-12-01 Robert F. Ling C. L. Lawson Richard Hanson
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Nonlinear programming: theory and algorithms 1993-06-01
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Semidefinite Programming 1996-03-01 Lieven Vandenberghe Stephen Boyd
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Harris hawks optimization: Algorithm and applications 2019-02-28 Ali Asghar Heidari Seyedali Mirjalili Hossam Faris Ibrahim Aljarah Majdi Mafarja Huiling Chen
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Adam: A Method for Stochastic Optimization 2014-01-01 Diederik P. Kingma Jimmy Ba
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Handbook of Mathematical Functions 2018-02-06
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Linear and Nonlinear Programming 2008-01-01 David G. Luenberger Yinyu Ye
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Iterative Solution of Nonlinear Equations in Several Variables 1971-04-01 E. I. J. M. Ortega Werner C. Rheinboldt

Most Recent Works

Action Title Date Authors
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A truncated three-term derivative-free projection method and its inertial-relaxed improvement for nonlinear monotone equations 2025-04-29 Pengjie Liu
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ACTIVE SET BLOCK BARZILAI-BORWEIN METHOD FOR MODEL PREDICTIVE CONTROL 2025-04-29 Shummin Nakayama
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Block iterative methods for solving multi-linear systems 2025-04-29 Mehdi Najafi–Kalyani Malihe Nobakht Kooshkghazi Lothar Reichel
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Linear programming and the simplex method 2025-04-29 Andrew McHugh
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A class of matrix splitting-based fixed-point iteration method for the vertical nonlinear complementarity problem 2025-04-29 Yapeng Wang Xuewen Mu
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Global Convergence of Hessenberg Shifted QR II: Finite Arithmetic 2025-04-30 Jess Banks Jorge Garza-Vargas Nikhil Srivastava
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An Active-Set Algorithm for Convex Quadratic Programming Subject to Box Constraints with Applications in Non-Linear Optimization and Machine Learning 2025-04-29 Konstantinos Vogklis I.E. Lagaris
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UMA PROPOSTA DE RESOLUÇÃO PARA O PROBLEMA P ≠ NP BASEADA EM EVIDÊNCIAS TERMODINÂMICAS DE ENTROPIA COMPUTACIONAL 2025-04-30 Alexandre JosĂ© Medeiros do Nascimento
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A Globally Convergent Conjugate Gradient Method Incorporating Perry’s Parameter for Unconstrained Optimization 2025-05-01 Hasan Jameel Alaa Luqman Ibrahim Neven E. Zaya
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Sixteenth-Order Steffensen-Ostrowski Approach for Nonlinear Problems with ​A​pplications in Celestial, Predator-Prey and Neural Activation​ 2025-05-01 Saima Akram Muhammad Bilal Riaz Faiza Akram Fouzia Amir Hareem Khalid Dexkanov Suxrob Sobirovich
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Computational Illustration of Fractional Inequalities via 2D Graphs with Application 2025-05-01 Ahsan Mehmood Muhammad Rizwan Younis Ahmad Aloqaily Dania Santina Muhammad Samraiz Gauhar Rahman Nabil Mlaiki
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An Iterative Fractional Operational Matrix Method for Solving Fractional Undamped Duffing Equation with High Nonlinearity 2025-05-01 Muhammed I. Syam Sharadga Mwaffag Ishak Hashim Mohd Almie Alias Mohammed M. A. Abuomar Shaher Momani
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Min-min minimization for the fractional ℓ0-regularized problem 2025-05-02 Jun Wang Qiang Ma Cheng Zhou
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A parametric approach for solving convex quadratic optimization with indicators over trees 2025-05-02 Aaresh Bhathena Salar Fattahi AndrĂ©s GĂłmez Si̇mge KĂŒĂ§ĂŒkyavuz
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Linear and Nonlinear Scalarization Methods for Vector Optimization Problems with Variable Ordering Structures 2025-05-02 Jian-Wen Peng Wenbin Wei Refail Kasımbeyli
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Approximate Solution of a Nonlinear Volterra–Fredholm Integral Equations Via New đ’”â€Iterative Algorithm 2025-05-02 Salman Zaheer Ankush Chanda Hemant Kumar Nashine
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A spectral conjugate gradient method for motion control of robotic manipulators 2025-05-02 Abdulkarim Hassan Ibrahim Suliman Al‐Homidan
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MATRS: heuristic methods for noisy derivative-free bound-constrained mixed-integer optimization 2025-05-03 Morteza Kimiaei Arnold Neumaier
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Further singular value and norm inequalities for matrices 2025-05-03 Ahmad Al-Natoor S. K. Kaushik Fuad Kıttaneh Amit Kumar
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Adaptive Restraints to Accelerate Geometry Optimizations of Large Biomolecular Systems 2025-05-03 Mark A. Hix Alice R. Walker
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Some properties and applications of (v, w)-convex functions 2025-05-03 Ehtesham Akhter Musavvir Ali
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An Inexact Bregman Proximal Difference-of-Convex Algorithm with Two Types of Relative Stopping Criteria 2025-05-05 Lei Yang Jingjing Hu Kim-Chuan Toh
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Optimization Techniques in Machine Learning Models Using Banach Space Theory: Applications in Engineering and Management 2025-05-05 Mogoi N. Evans Priscah Moraa
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Optimization of semilinear higher-order delay differential inclusions 2025-05-05 Elimhan N. Mahmudov Dilara Mastaliyeva
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Solving equilibrium and fixed-point problems in Hilbert spaces: a new strongly convergent inertial subgradient extragradient method 2025-05-05 Habib ur Rehman Debdas Ghosh Chinedu Izuchukwu Xiaopeng Zhao
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Publisher Correction: On Tractable Convex Relaxations of Standard Quadratic Optimization Problems under Sparsity Constraints 2025-05-05 Immanuel M. Bomze Bo Peng Yuzhou Qiu E. Alper Yıldırım
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Fixed Point Theory in Semigroups and Applications in Optimization Problems 2025-05-05 Abubakar Abdulkarim Usman Mohammed Yusuf Aminu Abdullahi Ahsan Hafiz Muhammad Nurhakimah Mohd Mukhtar
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Mixed Precision Orthogonalization-Free Projection Methods for Eigenvalue and Singular Value Problems 2025-05-01 Tianshi Xu Ziqi Zhang Jie Chen Yousef Saad Yuanzhe Xi
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On the Computational Complexity of Ordinal Multi-Objective Unconstrained Combinatorial Optimization 2025-05-01 José Rui Figueira Kathrin Klamroth Michael Stiglmayr Julia Sudhoff
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Asymptotic analysis and the Weierstrass theorem in dual spaces 2025-05-01 Fatemeh Fakhar M. Fakhar H. R. Hajisharifi
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High-Dimensional Merit-Function-Based Sequential Convex Programming for Nonlinear Trajectory Optimization 2025-05-06 Lei Xie Xiang Zhou Hongbo Zhang Guojian Tang Shuang Li
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Gradient Descent Optimization for A Quartic Polynomial 2025-05-06 Shiyun Xia Yongchang Cai Xiaoguang Wang Shan Lin Liming Ling
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Proof of the Nonexistence of an Algorithm That Tells If a Point Is on a Closed Sets Boundary or Exterior 2025-05-06 J. H. Fan Jincan Li
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On the Nonconvexity of Push-Forward Constraints and Its Consequences in Machine Learning 2025-05-06 Lucas de Lara Mathis Deronzier Alberto GonzĂĄlez-Sanz Virgile Foy
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A Newton-type Method for Non-smooth Under-determined Systems of Equations 2025-05-06 Titus PinĆŁa
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PositivstellensÀtze and Moment Problems with Universal Quantifiers 2025-05-07 Xiaomeng Hu Igor Klep Jiawang Nie
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A Totally Relaxed, Self-Adaptive Tseng Extragradient Method for Monotone Variational Inequalities 2025-05-07 O. J. Ogunsola Olawale Kazeem Oyewole Seithuti P. Moshokoa Hammed Anuoluwapo Abass
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PERIODIC AND PSEUDO PERIODIC SOLUTIONS FOR MATRIX SYLVESTER DYNAMIC SYSTEM ON MEASURE CHAINS 2025-05-01 CH. Harisha B. V. Appa Rao A. Sreenivasulu
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Semidefinite Programming and Linear Equations vs. Homomorphism Problems 2025-05-07 Lorenzo Ciardo Stanislav ĆœivnĂœ
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Robust First- and Second-Order Differentiation for Regularized Optimal Transport 2025-05-07 Xingjie Helen Li Fei Lu Molei Tao Felix X.-F. Ye
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Obtaining analytical solutions to Saint-Venant equations using optimization tools 2025-05-07 J. M. Martı́nez
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Enhanced Global Optimization Using a Novel Hybrid Sine Cosine-Gazelle Algorithm with Brownian Motion and LĂ©vy Flight Mechanisms 2025-05-08 Gyan Singh Saptadeep Biswas Absalom E. Ezugwu Vladimir Ć imić Uttam Kumar Bera Kashif Saleem Laith Abualigah
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Modified Sparrow Search Algorithm by Incorporating Multi-Strategy for Solving Mathematical Optimization Problems 2025-05-08 Yunpeng Ma Wang Meng Xiaolu Wang Ping Gu Xinxin Zhang
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Riemannian optimization using three different metrics for Hermitian PSD fixed-rank constraints 2025-05-09 Shixin Zheng Wen Huang Bart Vandereycken Xiangxiong Zhang
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Generalized Grassmann graphs of orthogonal decompositions of Hilbert spaces 2025-05-01 Bojan Kuzma Mark Pankov
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Minimax and maximin problems for sums of translates on the real axis 2025-05-01 Tatiana M. Nikiforova
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A lower bound for the Lebesgue constant of the Morrow-Patterson points 2025-05-01 Tomasz Beberok
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On Greedy Randomized Coordinate Updating Iteration Methods for Solving Symmetric Eigenvalue Problems 2025-05-01 Zhong‐Zhi Bai
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The Common Hermitian Solutions of the matrix equations B2XB2*=A2 and B3XB3*=A3 subject to inequality restrictions 2025-05-09 Zhanshan Wang Huiting Zhang Honglin Zou
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Stochastic forward-backward-half forward splitting algorithm with variance reduction 2025-05-09 Liqian Qin Yaxuan Zhang Qiao‐Li Dong Michael Th. Rassias