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y 2013. Roger J-.B. Wets, R.T. Rockafellar, Variational Analysis, Springer, 2009. R.T. Rockafellar, Convex Analysis, NLuVfNQHrlQS, 1997. Yef[e_c:N;N ~Tf[N0 zS18_B010202 z TysNOSel ;` f[ e54 f[ R3 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^3uW jl%f\ Q[i1 'Yĉ!jb[rel 2 QpelTRSRyel 3 JS[ĉRT%OS 4 penc/TRv:gOS. YePgS;NSfN 1. Jorge Nocedal Stephen J. Wright, Numerical Optimization yf[QHr>y 2006. 2. eڋ, e, ~'`%OS, yf[QHr>y 2013. 3. OCNNS, Wꁎp, JS[ĉR,  HYPERLINK "http://www.queshu.com/press/1000331/" SNN'Yf[QHr>y, 2014. Yef[e_c:N;N ~Tf[N0 zS18_B010203 z Ty{AmSORf[ ;` f[ e54 f[ R3 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^RSf I{ Q[i1 AmSORf[el zi2 8^_Re zvpey 2010. 4. gqz ѐZiIQ y 2009. Yef[e_c:N;N ~Tf[N0 zS18_B010204 z Tyؚ'`{ ;` f[ e54 f[ R3 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^RSf I{ Q[i1 v^L{vW@xwƋ2 xQWv^L{lSv^L z^[sv[O;3 GPUv^L{W@xwƋ4 GPUv^LvxQW z^[s0 YePgS;NSfN 1. _gl ߏf[e R'\ Ng v^L{[ nNS'Yf[QHr>y 2006. 2. _ ys)RI{ GPUؚ'`Џ{KNCUDA -NV4l)R4l5uQHr>y 2009. Yef[e_c:N;N ~Tf[N0 zS18_B010205 z TyhQ@\OSel ;` f[ e36 f[ R2 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^3uW I{ Q[i1 DC OS2 SpeR㉹el3 USOSel4 Yy_OS 5 hQ@\OSvяy 2016. 3. NgR QOS^(uIN SpringerTnNS'Yf[QHr>yT\OQHr 2015. Yef[e_c:N;N ~Tf[N0 zS18_B010207 z Ty:ghVf[`N ;` f[ e36 f[ R2 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^ jl%f\ ؚnga I{ Q[i1 QV{hf[`N2 N]^y~Q~;3 ċ0OGP4 Sef[`N5 W O{l6 f[`NĉRƖT I{0 YePgS;NSfN 1. hT_NS :ghVf[`N nNS'Yf[QHr>y 2016. 2. James, G., D. Witten, T. Hastie, and R. Tibshirani An introduction to statistical learning Springer, 2013. Yef[e_c:N;N ~Tf[N0 zS18_B010208 z TypencVPYt ;` f[ e36 f[ R2 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^RSf I{ Q[i1 kSfKmϑpenci2 0WWKmϑpenci;3 f~bT4 VR_Rg5 ]Rg6 Monte Carloel0 YePgS;NSfN 1. Kutner, M. H., C. J. Nachtsheim, J. Neter, W. Li, Applied linear statistical models (Fifth Edition), McGraw-Hill/Irwin, 2005. 2. Bevington, P. R., D. K. Robinson, Data reduction and error analysis for the physical science (Third Edition), McGraw-Hill/Irwin, 2003. 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Randall, D. An introduction to atmospheric modeling Colorado state university 2004. 2. [][, sSOeP 'Ylyf[-Nvpey 2013. Yef[e_c:N;N ~Tf[N0 zS18_B010301 z TysNisW@x ;` f[ e54 f[ R3 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^R)ROe, _pgI{ Q[i1 :gǏ z0Km^TƖTv6e[e'`2 FelterǏ zTJS3 :g_Re zT4 JSN^IN:gyRI{0 YePgS;NSfN 1O. Kallenberg Foundations of Modern Probability Springer, 1997. 2P. Protter. Stochastic Integration and Differential Equations: A New Approach. Springer, 2004. Yef[e_c:N;N ~Tf[N0 zS18_B010302 z Ty:gRg ;` f[ e54 f[ R3 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^ׂ, _pgI{ Q[i1 BrownЏRvMORt2 LevyǏ z3 PT:g_Re z4 AmL Nv:gRg5 Malliavin:gRgI{0 YePgS;NSfN 1D. Applebaum Levy Processes and Stochastic Calculus Cambridge, 2007. 2P. Malliavin Stochastic Analysis Springer 1997. 3Ğ_܏ :gRgf[W@x yf[QHr>y 2001. 4%NR[ m_[b e׋^ 4TΞf :gRg yf[QHr>y 1997. 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Rockner A Concise Course on Stochastic Partial Differential Equations Springer, 2007. 2G. D. Prato J. Zabczyk, Stochastic Equations in Infinite Dimensions Cambridge, 2014. Yef[e_c:N;N ~Tf[N0 zS18_B010308 z TyckNtSvQ^(u ;` f[ e36 f[ R2 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^^Uw, \g߆I{ Q[i1 ckNhvg t2 ]Ɩw5t3 ckNbq_w5R4 ckN'`0GWS'`KNvsQ|5 Oo`tI{0 YePgS;NSfN 1Hedayat, A. S., Sloane, N. J. A. and Stufken, J. Orthogonal Arrays: Theory and Applications. Springer-Verlag, New York. 1999. 2^Uw ckNhvg elSvQ^(u 5uP[yb'Yf[QHr>y 20040 3 _^q\ ckNhvpencRgSvQg 2006. Yef[e_c:N;N ~Tf[N0 zS18_B010309 z Ty:gZS_t ;` f[ e36 f[ R2 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^Re[I{ Q[i(1) :gZS_{NNpef[c(2)  HYPERLINK "http://wiki.mbalib.com/wiki/%E9%87%8D%E5%A4%8D%E5%8D%9A%E5%BC%88" \o "͑ YZS_" ͑ YZS_vN,SǏ z(3) NNTZS_(4) NN^TZS_(5) zNl\S+YQV{Ǐ z (Competitive Markov Decision Processes CMDPs )(6) YN:gZS_0 YePgS;NSe.s Abraham Neyman Sylvain Sorin. Stochastic Games and Applications. Kluwer Academic Press, 2003,  HYPERLINK "http://wiki.mbalib.com/w/index.php?title=Special:Booksources&isbn=9781402014932" ISBN 978-1402014932. Jean Francois Mertens Abraham Neyman. Stochastic Games. International Journal of Game Theory, 1981, 10 (2): 53 66. Nicolas Vieille. Stochastic games: Recent results, 1833-1850, in: R.J. Aumann S. Hart (Editors), Handbook of Game Theory with Economic Applications, 2002, 3:1521-2351. Jerzy A. Filar Koos Vrieze. Competitive Markov Decision Processes. Springer-Verlag, 1996,  HYPERLINK "http://wiki.mbalib.com/w/index.php?title=Special:Booksources&isbn=9780387948058" ISBN 978-0387948058. Yef[e_c:N;N ~Tf[N0 zS18_B010401 z TyV ;` f[ e54 f[ R3 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^sN, hgsf NgR`T lΏ[I{ Q[i1 Vv Tg0ޏ^2 Euler s8n Hamilton W -NVXT eL.U'XT3 Q~AmtI{0 YePgS;NSfN 1J.A. Bondy, U.S.R. Murty, Graph Theory, Springer, New York, 2007. 2Jrgen Bang-Jensen, Gregory Gutin. Digraphs: Theory, Algorithms and Applications. London: Springer, 2000. Yef[e_c:N;N ~Tf[N0 zS18_B010402 z Ty~TgOS ;` f[ e54 f[ R3 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^sN, hgsf NgR`T lΏ[I{ Q[i1 ĉR2 {l YBg'`3 NP-[hQI{0 YePgS;NSfN 1C.H. Papadimitriou, Combinatorial Optimization: Algorithms and Complexity, Prentice-Hall, Englewood Cliffs, NJ, 1982. 2B. Korte, J. Vygen, lIN, gҋR, Yi`\t, _V]ы, ~TgOS: tN{l, SN: yf[QHr>y, 2014 3sN, g N:N. Q~ޏ'`vgOS SNyf[b/gQHr>y 2009 Yef[e_c:N;N ~Tf[N0 zS18_B010403 z TyNpef[ ;` f[ e54 f[ R3 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^S\O, uHQdI{ Q[i1 яNNpe2 NVI{0 YePgS;NSfN 1Thomas W. Hungerford, Algebra, Springer-Verlag, New York, 1974. 2H. WielandtW, s<ы. gPnbc, SN: yf[QHr>y, 1984. Yef[e_c:N;N ~Tf[N0 zS18_B010404 z Tyuir{ ;` f[ e54 f[ R3 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^R , NgmI{ Q[i1 Yenuirpef[!jWvYyR/et2 uirpef[!jWv3z['`Rg3 DNA{I{0 YePgS;NSfN 1G. Paun et al., DNA Computing, Springer, Berlin, 1998. 2G. Paun, Computing with Bio-Molecules: Theory and Experiments, Springer, Singapore, 1998. Yef[e_c:N;N ~Tf[N0 zS18_B010405 z Ty~T ;` f[ e36 f[ R2 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^sN, hgsf NgR`T lΏ[I{ Q[i1 ~Tpet2 cRN~T0[eStSvQ^(u0csQ|3 =]StTRamsey[t0Polya[tI{0 YePgS;NSfN 1_Of. ~TQ~t. SNyf[QHr>y, 2007. 2l. ؚ'`{:gNޏ|~xvz. l: V2yb'Yf[, 2000. Yef[e_c:N;N ~Tf[N0 zS18_B010406 z Ty{lN YBg'`Rg ;` f[ e36 f[ R2 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^sN, hgsf NgR`T lΏ[I{ Q[i1 {lvpef[W@x2 {lve YBg^Szz YBg^3 ceQc^0 ^\c^0_c^0Xc^0R_v^c^0Y萒c^I{0 YePgS;NSfN 1Robert Sedgewick, Kevin Wayne, Algorithms (Fourth Edition q_pSHr). SNNl5uQHr>y 2012. 2K. MehlhornW, [yga, 0uimы, Algorithms and data structures the basic toolbox, SN: nNS'Yf[QHr>y, 2013. 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Conway, A course in functional analysis (Second edition), New York: Springer-Verlag, 1990. 4. R.E. Megginson, An introduction to Banach space theory, New York: Springer-Verlag, 1998. 5. qёW pƖbQbIN ؚI{YeQHr>y 2002. Yef[e_c:N;N ~Tf[N0 zS18_B010502 z Typef[ĉR ;` f[ e54 f[ R3 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^[INuI{ Q[i1 pef[ĉRvW,gi_SbgO gO

y 2005 2s[>N, OCNNS  HYPERLINK "http://www.baidu.com/link?url=u9Uhu4KHAWrnzqIkKFzGGlt2Y8eSGSZIs0ww6zASIW_X7bC4SG8y8car3uldXK67Tp--gGsPk-WnVPhboTrCJ_&wd=&eqid=eedf3a200001e1be00000003556c1817&ie=utf-8" \t "_blank" ^~'`gOStNel SNyf[QHr>y 2012 3. NXn Y[e\t gOStNel SNyf[QHr>y 1997 4. _b$ H_s^ NgCNb яNOSel SNyf[QHr>y 2002 Yef[e_c:N;N ~Tf[N0 zS18_B010503 z Tyw5 ;` f[ e54 f[ R3 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^[INuI{ Q[i1 ~'`zz0[vP'`0~'` f\0w50LR_010'k_zz0KzzTQ'`vW,gi_ 2 w5vW,g/g틌TS0W,gw50NS NS~w50[҉ORw50Iw50ckĉw50u`w5T_w50ck[w503z[w50e4Ow50ckw50^w50_sw50 }w50:gw50M-w5NSH-w5vi_NS[NvW,g'`( 3 w5vJordanhQb_Tvy, 2001. *PVq, 8^(uvw5tTel, Nwm: Nwmyf[b/gQHr>y, 1984. _$, w5RgN^(u, SN:nNS'Yf[QHr>y, 2004. zNO _Qb _N w5 S]N'Yf[QHr>y 2013. Yef[e_c:N;N ~Tf[N0 zS18_B010504 z TysNc6Rt ;` f[ e54 f[ R3 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^NgmI{ Q[i1 ~'`[8^|~vc'`T‰'`0ycee|~vc'`N‰'`0eS|~vc'`N‰'`0[vPsQ|0~gR2 NgŖnf+Y,{NelTNgŖnf+Y,{Nel3 ~'`[8^|~vSc6R0gpMn0G[0&0r`‰KmhVI{0 YePgS;NSfN Ry UNu sNc6Rt SN: :gh]NQHr>y 2011. "KQf, sNc6Rt SN: nNS'Yf[QHr>y 2007. ѐ'Y, ~'`|~t SN: nNS'Yf[QHr>y 2001. Yef[e_c:N;N ~Tf[N0 zS18_B010505 z Ty _ϑ~gRg ;` f[ e36 f[ R2 _f[g,{Nf[g _USMOpef[NOo`yf[f[b NYe^[INuI{ Q[i1 _ϑyr_y, 2011. R. T. Rockafellar, Convex analysis, Princeton: Princeton University Press, 1970. D. P. Bertsekas, Convex analysis and optimizationq_pSHr SNnNS'Yf[QHr>y 2006. Jon HYPERLINK "https://book.douban.com/search/Jonathan%20Borwein" athan Borwein  HYPERLINK "https://book.douban.com/search/Adrian%20S.%20Lewis" Adrian S. Lewis, Convex Analysis and Nonlinear Optimization, New York: Springer-Verlag, 2005. 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