What question did this study set out to answer?

The aim is to develop a modified BFGS method for effective unconstrained nonconvex minimization.

April 4, 2026Open Access

A modified scaling BFGS method for nonconvex minimization

Key Points

The aim is to develop a modified BFGS method for effective unconstrained nonconvex minimization.
Modification of the traditional BFGS algorithm.
Focus on global convergence without convexity assumptions.
Establishment of superlinear convergence under specific conditions.
Numerical experiments to demonstrate effectiveness.
The modified method shows improved performance over the traditional BFGS method.
Results indicate global convergence for nonconvex optimization problems.
Superlinear convergence is achieved under given assumptions.
Numerical results validate theoretical claims.

Abstract

In this paper, we propose a modified scaling BFGS method for unconstrained minimization.A remarkable feature of the proposed method is that it can improve the performance of the BFGS method and possesses a global convergence property without convexity assumption on the objective function.Under certain assumptions, we also establish superlinear convergence of the method.Finally we show numerical results.

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Discussion

Authors

Kiyohisa Sugasawa

East Japan Railway (Japan)

Hiroshi Yabe

Tetra Corporation (United States)

Actions

References and Citations

Connected Papers

Building similarity graph...

Analyzing shared references across papers

A modified scaling BFGS method for nonconvex minimization

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Authors

Actions

References and Citations

Citation Network

Connected Papers

Discussion

Cite this study

Also consider

Also consider