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  1. No Access

    Article

    The Magnetocaloric Properties Around the Second-Order Magnetic Transition in \(\hbox {Ni}_{2}\hbox {Mn}_{1.4}\hbox {In}_{\mathrm{0.6-x}}\hbox {R}_{\mathrm{x}} (\hbox {R}= \hbox {Si, Ge, Al})\)

    By combining the first-principles with Monte Carlo method, we investigate the magnetic exchange interactions and the magnetic entropy changes in the vicinity of the second-order transition in

    Y. R. Li, H. L. Su, H. Y. Liu, H. Z. Luo… in International Journal of Thermophysics (2018)

  2. No Access

    Article

    Nonlinear separation approach for the augmented Lagrangian in nonlinear semidefinite programming

    This paper aims at showing that the class of augmented Lagrangian functions for nonlinear semidefinite programming problems can be derived, as a particular case, from a nonlinear separation scheme in the image...

    H. X. Wu, H. Z. Luo, J. F. Yang in Journal of Global Optimization (2014)

  3. No Access

    Article

    On the convergence of augmented Lagrangian methods for nonlinear semidefinite programming

    In this paper, we present new convergence properties of the augmented Lagrangian method for nonlinear semidefinite programs (NSDP). Convergence to the approximately global solutions and optimal values of NSDP ...

    H. Z. Luo, H. X. Wu, G. T. Chen in Journal of Global Optimization (2012)

  4. No Access

    Article

    Saddle points of general augmented Lagrangians for constrained nonconvex optimization

    Local and global saddle point conditions for a general augmented Lagrangian function proposed by Mangasarian are investigated in the paper for inequality and equality constrained nonconvex optimization problem...

    H. X. Wu, H. Z. Luo in Journal of Global Optimization (2012)

  5. No Access

    Article

    Synthesis and electrochemical properties of LiNi0.4Mn1.5Cr0.1O4 and Li4Ti5O12

    Spinel compound LiNi0.4Mn1.5Cr0.1O4 (LNMCO) and Li4Ti5O12 (LTO) were synthesized by the sol-gel method and the solid-state method, respectively. The particle sizes of the products LiNi0.4Mn1.5Cr0.1O4 and Li4Ti5O1...

    G. Q. Liu, L. Wen, G. Y. Liu, H. Z. Luo, B. Y. Ma… in Metals and Materials International (2011)

  6. No Access

    Article

    Convergence Properties of Modified and Partially-Augmented Lagrangian Methods for Mathematical Programs with Complementarity Constraints

    We present new convergence properties of partially augmented Lagrangian methods for mathematical programs with complementarity constraints (MPCC). Four modified partially augmented Lagrangian methods for MPCC ...

    H. Z. Luo, X. L. Sun, Y. F. Xu in Journal of Optimization Theory and Applications (2010)

  7. No Access

    Article

    On the convergence properties of modified augmented Lagrangian methods for mathematical programming with complementarity constraints

    In this paper, we present new convergence results of augmented Lagrangian methods for mathematical programs with complementarity constraints (MPCC). Modified augmented Lagrangian methods based on four differen...

    H. Z. Luo, X. L. Sun, Y. F. Xu, H. X. Wu in Journal of Global Optimization (2010)

  8. No Access

    Article

    Separation Approach for Augmented Lagrangians in Constrained Nonconvex Optimization

    This paper aims at showing that the class of augmented Lagrangian functions, introduced by Rockafellar and Wets, can be derived, as a particular case, from a nonlinear separation scheme in the image space asso...

    H. Z. Luo, G. Mastroeni, H. X. Wu in Journal of Optimization Theory and Applications (2010)

  9. No Access

    Article

    On the Characterization of Preinvex Functions

    In Refs. [J. Math. Anal. Appl. 258:287–308, [2001]; J. Math. Anal. Appl. 256:229–241, [2001]], Yang and Li presented a characterization of preinvex functions and semistrictly preinvex functions under a certain se...

    H. Z. Luo, H. X. Wu in Journal of Optimization Theory and Applications (2008)

  10. No Access

    Article

    Convexification of Nonsmooth Monotone Functions1

    We consider a convexification method for a class of nonsmooth monotone functions. Specifically, we prove that a semismooth monotone function can be converted into a convex function via certain convexification ...

    X. L. Sun, H. Z. Luo, D. Li in Journal of Optimization Theory and Applications (2007)

  11. No Access

    Article

    On Characterizations of Prequasi-Invex Functions

    In Ref. 1, Yang et al presented characterizations of prequasi-invex functions, semistrictly prequasi-invex functions, and strictly prequasi-invex functions, respectively, under a certain set of conditions. In ...

    H. Z. Luo, Z. K. Xu in Journal of Optimization Theory and Applications (2004)