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Convergence analysis of sparse quasi-Newton updates with positive definite matrix completion for two-dimensional functions
A modified Fletcher-Reeves-Type derivative-free method for symmetric nonlinear equations
1. | School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China |
2. | College of Mathematics and Econometrics, Hunan University, Changsha, 410082, China |
References:
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IMA Journal of Numerical Analysis, 5 (1985), 121-124.
doi: 10.1093/imanum/5.1.121. |
[2] |
SIAM Journal on Scientific Computing, 23 (2001), 940-960.
doi: 10.1137/S1064827599363976. |
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Journal of Australia Mathematical Society, Ser. B, 28 (1986), 75-92. |
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IMA Journal of Numerical Analysis, 29 (2009), 814-825.
doi: 10.1093/imanum/drn019. |
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Journal of Computational Mathematics, 2 (1996), 142-148. |
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IMA Journal of Numerical Analysis, 16 (1996), 155-164.
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Shanghai Science and Technology Publisher, Shanghai, 2000. Google Scholar |
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Computer Journal, 7 (1964), 149-154.
doi: 10.1093/comjnl/7.2.149. |
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SIAM Journal on Optimization, 2 (1992), 21-42.
doi: 10.1137/0802003. |
[10] |
SIAM Journal on Numerical Analysis, 40 (2003), 1763-1774.
doi: 10.1137/S0036142901397423. |
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Systems Science and Mathematical Science, 11 (1998), 112-116. |
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Pacific Journal of Optimization, 2 (2006), 35-58. |
[13] |
Journal of Optimization Theory and Applications, 71 (1991), 399-405.
doi: 10.1007/BF00939927. |
[14] |
Optimization Methods and Software, 18 (2003), 583-599.
doi: 10.1080/10556780310001610493. |
[15] |
Mathematics of Computation, 75 (2006), 1429-1448.
doi: 10.1090/S0025-5718-06-01840-0. |
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Applied Mathematics, Journal of Chinese Universities, Ser. B, 10 (1995), 75-82. |
[17] |
Hokkaido Journal of Mathematics, 36 (2007), 729-743. |
[18] |
SIAM Journal on Numerical Analysis, 37 (1999), 152-172.
doi: 10.1137/S0036142998335704. |
[19] |
Optimization Methods and Software, 13 (2000), 181-201.
doi: 10.1080/10556780008805782. |
[20] |
Q. Li and D. H. Li, A class of derivative-free methods for large-scale nonlinear monotone equations,, IMA Journal of Numerical Analysis, (). Google Scholar |
[21] |
Mathematical Programming, 11 (1976), 42-49.
doi: 10.1007/BF01580369. |
[22] |
Mathematical Programming, 2 (1977), 241-254.
doi: 10.1007/BF01593790. |
[23] |
Journal of Computational and Applied Mathematics, 234 (2010), 649-657.
doi: 10.1016/j.cam.2010.01.001. |
[24] |
Optimization Methods and Software, 22 (2007), 237-252.
doi: 10.1080/10556780500397074. |
[25] |
Numerische Mathematik, 104 (2006), 561-572.
doi: 10.1007/s00211-006-0028-z. |
[26] |
Journal of Computational Mathematics, 25 (2007), 89-96. |
[27] |
Mathematics of Computation, 77 (2008), 2231-2240.
doi: 10.1090/S0025-5718-08-02121-2. |
[28] |
in "Integer and Nonlinear Programming" (eds. J. Abadie), North-Holland, Amsterdam, (1970), 37-86. |
show all references
References:
[1] |
IMA Journal of Numerical Analysis, 5 (1985), 121-124.
doi: 10.1093/imanum/5.1.121. |
[2] |
SIAM Journal on Scientific Computing, 23 (2001), 940-960.
doi: 10.1137/S1064827599363976. |
[3] |
Journal of Australia Mathematical Society, Ser. B, 28 (1986), 75-92. |
[4] |
IMA Journal of Numerical Analysis, 29 (2009), 814-825.
doi: 10.1093/imanum/drn019. |
[5] |
Journal of Computational Mathematics, 2 (1996), 142-148. |
[6] |
IMA Journal of Numerical Analysis, 16 (1996), 155-164.
doi: 10.1093/imanum/16.2.155. |
[7] |
Shanghai Science and Technology Publisher, Shanghai, 2000. Google Scholar |
[8] |
Computer Journal, 7 (1964), 149-154.
doi: 10.1093/comjnl/7.2.149. |
[9] |
SIAM Journal on Optimization, 2 (1992), 21-42.
doi: 10.1137/0802003. |
[10] |
SIAM Journal on Numerical Analysis, 40 (2003), 1763-1774.
doi: 10.1137/S0036142901397423. |
[11] |
Systems Science and Mathematical Science, 11 (1998), 112-116. |
[12] |
Pacific Journal of Optimization, 2 (2006), 35-58. |
[13] |
Journal of Optimization Theory and Applications, 71 (1991), 399-405.
doi: 10.1007/BF00939927. |
[14] |
Optimization Methods and Software, 18 (2003), 583-599.
doi: 10.1080/10556780310001610493. |
[15] |
Mathematics of Computation, 75 (2006), 1429-1448.
doi: 10.1090/S0025-5718-06-01840-0. |
[16] |
Applied Mathematics, Journal of Chinese Universities, Ser. B, 10 (1995), 75-82. |
[17] |
Hokkaido Journal of Mathematics, 36 (2007), 729-743. |
[18] |
SIAM Journal on Numerical Analysis, 37 (1999), 152-172.
doi: 10.1137/S0036142998335704. |
[19] |
Optimization Methods and Software, 13 (2000), 181-201.
doi: 10.1080/10556780008805782. |
[20] |
Q. Li and D. H. Li, A class of derivative-free methods for large-scale nonlinear monotone equations,, IMA Journal of Numerical Analysis, (). Google Scholar |
[21] |
Mathematical Programming, 11 (1976), 42-49.
doi: 10.1007/BF01580369. |
[22] |
Mathematical Programming, 2 (1977), 241-254.
doi: 10.1007/BF01593790. |
[23] |
Journal of Computational and Applied Mathematics, 234 (2010), 649-657.
doi: 10.1016/j.cam.2010.01.001. |
[24] |
Optimization Methods and Software, 22 (2007), 237-252.
doi: 10.1080/10556780500397074. |
[25] |
Numerische Mathematik, 104 (2006), 561-572.
doi: 10.1007/s00211-006-0028-z. |
[26] |
Journal of Computational Mathematics, 25 (2007), 89-96. |
[27] |
Mathematics of Computation, 77 (2008), 2231-2240.
doi: 10.1090/S0025-5718-08-02121-2. |
[28] |
in "Integer and Nonlinear Programming" (eds. J. Abadie), North-Holland, Amsterdam, (1970), 37-86. |
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