Semidefinite relaxation and nonconvex quadratic optimization

Article Properties
Journal Categories
Science
Mathematics
Instruments and machines
Electronic computers
Computer science
Science
Mathematics
Instruments and machines
Electronic computers
Computer science
Computer software
Technology
Manufactures
Production management
Operations management
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
Title Journal Journal Categories Citations Publication Date
Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming Journal of the ACM
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Science: Science (General): Cybernetics: Information theory
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
1,248 1996
Cones of Matrices and Set-Functions and 0–1 Optimization SIAM Journal on Optimization
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
400 1990
10.1137/1.9781611970791 1994
10.1137/1.9781611970791 1996
10.1137/1.9781611970791 1988
Citations
Title Journal Journal Categories Citations Publication Date
A partial ellipsoidal approximation scheme for nonconvex homogeneous quadratic optimization with quadratic constraints Mathematical Methods of Operations Research
  • Technology: Manufactures: Production management. Operations management
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
2023
Effective algorithms for separable nonconvex quadratic programming with one quadratic and box constraints Computational Optimization and Applications
  • Technology: Manufactures: Production management. Operations management
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
2023
An effective global algorithm for worst-case linear optimization under polyhedral uncertainty Journal of Global Optimization
  • Technology: Manufactures: Production management. Operations management
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
2023
Computation of the phase and gain margins of MIMO control systems Automatica
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Engineering (General). Civil engineering (General)
1 2023
Gain-Phase Margin of MIMO Control Systems IFAC-PapersOnLine 2023
Citations Analysis
Category Category Repetition
Science: Mathematics83
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods74
Technology: Manufactures: Production management. Operations management49
Technology: Engineering (General). Civil engineering (General)47
Science: Mathematics: Instruments and machines: Electronic computers. Computer science28
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software27
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics22
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks21
Science: Physics8
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware8
Technology: Mechanical engineering and machinery7
Technology: Chemical technology4
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials4
Science: Mathematics: Probabilities. Mathematical statistics4
Technology: Technology (General): Industrial engineering. Management engineering3
Science: Physics: Acoustics. Sound2
Science: Physics: Optics. Light2
Social Sciences: Commerce: Business: Personnel management. Employment management2
Social Sciences: Commerce: Business2
Social Sciences: Economic theory. Demography: Economics as a science2
Science: Science (General)1
Science: Biology (General)1
Science: Chemistry1
Science: Chemistry: General. Including alchemy1
Technology: Electrical engineering. Electronics. Nuclear engineering1
Technology: Technology (General): Industrial engineering. Management engineering: Information technology1
Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication1
Science: Science (General): Cybernetics: Information theory1
Social Sciences: Finance1
Social Sciences: Statistics1
The category Science: Mathematics 83 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Role of redundant constraints for improving dual bounds in polynomial optimization problems and was published in 1998. The most recent citation comes from a 2023 study titled Gain-Phase Margin of MIMO Control Systems. This article reached its peak citation in 2020, with 16 citations. It has been cited in 81 different journals, 4% of which are open access. Among related journals, the SIAM Journal on Optimization cited this research the most, with 15 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year