Masao Fukushima

Numerical Analysis · 2000–2015

A researcher in the Science corpus: 15 papers; trusts 26 researchers and is trusted by 41 researchers here, as inferred from the citation graph.

Subfields

• Numerical Analysis — 28 citations into it; #292 of 3,586 by trust here, #493 by citations
• Computational Theory and Mathematics — 26 citations into it; #1,259 of 12,182 by trust here, #2,489 by citations
• Management Science and Operations Research — 22 citations into it; #7,813 of 11,946 by trust here, #6,563 by citations
• Economics and Econometrics — 20 citations into it
• Mathematical Optimization — 12 citations into it
• Electrical and Electronic Engineering — 9 citations into it
• Optimization & Training — 9 citations into it
• Control and Systems Engineering — 7 citations into it

Whom Masao Fukushima trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Jong-Shi Pang
2. Francisco Facchinei
3. Dimitri P. Bertsekas
4. Roger Fletcher
5. R. Tyrrell Rockafellar
6. C. G. Broyden
7. John E. Dennis Jr.
8. Michele Aghassi
9. Stanislav Uryasev
10. Xiaojun Chen

Who trusts Masao Fukushima overall

1. Jein-Shan Chen
2. Shaohua Pan
3. Katsunori Kubota
4. Praneeth Vepakomma
5. Alfred Auslender
6. Donghui Li
7. Zhifeng Dai
8. Mert Pilanci
9. Xiaojun Chen
10. Albert S. Berahas

Papers from Masao Fukushima's perspective

Ordered by how strongly the researchers Masao Fukushima trusts endorse each paper. Same corpus, a different order for every researcher.

1. Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity (Mathematics of Operations Research)
2. Optimization of conditional value-at risk
3. Convergence Properties of a Regularization Scheme for Mathematical Programs with Complementarity Constraints (SIAM Journal on Optimization)
4. Relaxation algorithms to find Nash equilibria with economic applications
5. Conditional Value-at-Risk for General Loss Distributions
6. Credit risk optimization with Conditional Value-at-Risk criterion (Mathematical programming)
7. Note on Existence and Uniqueness of Equilibrium Points for Concave N-Person Games
8. Random number generation and Quasi-Monte Carlo methods
9. Linear Complementarity Problem (Encyclopedia of Optimization)
10. Constrained Optimization and Lagrange Multiplier Methods

Their papers

• Smoothing Functions for Second-Order-Cone Complementarity Problems (2002) — 408 citations
• A modified BFGS method and its global convergence in nonconvex minimization (2001) — 425 citations
• On the Rate of Convergence of the Levenberg-Marquardt Method (2001) — 453 citations
• Some Exact Penalty Results for Nonlinear Programs and Mathematical Programs with Equilibrium Constraints (2003) — 88 citations
• Worst-Case Conditional Value-at-Risk with Application to Robust Portfolio Management (2009) — 558 citations
• Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games (2009) — 468 citations
• A class of gap functions for quasi-variational inequality problems (2007) — 73 citations
• MULTI-LEADER-FOLLOWER GAMES: MODELS, METHODS AND APPLICATIONS (2015) — 61 citations
• SIAM Journal on Optimization (2012) — 143 citations
• Gap Function Approach to the Generalized Nash Equilibrium Problem (2010) — 64 citations
• Stochastic Equilibrium Problems and Stochastic Mathematical Programs with Equilibrium Constraints: A Survey 1 (2009) — 81 citations
• Quadratic Fractional Programming Problems with Quadratic Constraints (2008) — 9 citations
• New restricted NCP functions and their applications to stochastic NCP and stochastic MPEC (2007) — 48 citations
• The traffic equilibrium problem with nonadditive costs and its monotone mixed complementarity problem formulation (2007) — 53 citations
• A derivative-free line search and global convergence of Broyden-like method for nonlinear equations (2000) — 190 citations