References
- Hager WW, Zhang H. A survey of nonlinear conjugate gradient methods. Pac. J. Optim. 2006;2:35–58.
- Hestenes MR, Stiefel E. Methods of conjugate gradients for solving linear systems. J. Res. Nat. Bur. Stand. 1952;49:409–436.
- Sun W, Yuan YX. Optimization theory and methods: nonlinear programming. New York (NY): Springer; 2006.
- Dai YH, Liao LZ. New conjugacy conditions and related nonlinear conjugate gradient methods. Appl. Math. Optim. 2001;43:87–101.
- Hager WW, Zhang H. A new conjugate gradient method with guaranteed descent and an efficient line search. SIAM J. Optim. 2005;16:170–192.
- Dai YH, Kou CX. A nonlinear conjugate gradient algorithm with an optimal property and an improved Wolfe line search. SIAM J. Optim. 2013;23:296–320.
- Hager WW, Zhang H. Algorithm 851: CG\_Descent, a conjugate gradient method with guaranteed descent. ACM Trans. Math. Softw. 2006;32:113–137.
- Andrei N. Open problems in conjugate gradient algorithms for unconstrained optimization. B. Malays. Math. Sci. Soc. 2011;34:319–330.
- Babaie-Kafaki S, Ghanbari R. The Dai--Liao nonlinear conjugate gradient method with optimal parameter choices. Eur. J. Oper. Res. 2014;234:625–630.
- Babaie-Kafaki S, Ghanbari R. A descent family of Dai--Liao conjugate gradient methods. Optim. Methods Softw. 2014;29:583–591.
- Perry A. A modified conjugate gradient algorithm. Oper. Res. 1976;26:1073–1078.
- Zhang L, Zhou W, Li DH. Some descent three-term conjugate gradient methods and their global convergence. Optim. Methods Softw. 2007;22:697–711.
- Watkins DS. Fundamentals of matrix computations. New York (NY): Wiley; 2002.
- Dai YH, Han JY, Liu GH, Sun DF, Yin HX, Yuan YX. Convergence properties of nonlinear conjugate gradient methods. SIAM J. Optim. 1999;10:348–358.
- Powell MJD. Nonconvex minimization calculations and the conjugate gradient method. In: Griffiths DF, editor. Numerical Analysis (Dundee, 1983). Vol. 1066, Lecture notes in mathematics. Berlin: Springer; 1984. p. 122–141.
- Gilbert JC, Nocedal J. Global convergence properties of conjugate gradient methods for optimization. SIAM J. Optim. 1992;2:21–42.
- Gould NIM, Orban D, Toint Ph.L. CUTEr: a constrained and unconstrained testing environment, revisited. ACM Trans. Math. Softw. 2003;29:373–394.
- Dolan ED, Moré JJ. Benchmarking optimization software with performance profiles. Math. Program. 2002;91: 201–213.