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Complexity}, VOLUME = {26}, NUMBER = {1}, PAGES = {43-50}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {nonlinear pseudorandom number generator, lattice test, inversive method, complexity measure for sequences}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4WSY4BV-1/2/8d6b2289f31c29f3152d872793d3c71f}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Jiang-Xu/10, AUTHOR = {Jiang, Ying and Xu, Yuesheng}, TITLE = {Fast discrete algorithms for sparse Fourier expansions of high dimensional functions}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {1}, PAGES = {51-81}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {fast discrete algorithm, hyperbolic cross fourier expansion, sparse grid}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4XFPPYC-1/2/cdb322d91a5e22284fa7e8fff1b62598}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Mazzia-Pini/10, AUTHOR = {Mazzia, Annamaria and Pini, Giorgio}, TITLE = {Product Gauss quadrature rules vs. cubature rules in the meshless local Petrov-Galerkin method}, JOURNAL = {J. 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Complexity}, VOLUME = {26}, NUMBER = {2}, PAGES = {125-134}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {multivariate integration, monte carlo method, importance sampling, randomized setting, tractability}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4XV44TP-1/2/2c771093db827a7cf86b652692c6648a}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Kuo-Sloan-Wasilkowski-Waterhouse/10, AUTHOR = {Kuo, Frances Y. and Sloan, Ian H. and Wasilkowski, Grzegorz W. and Waterhouse, Benjamin J.}, TITLE = {Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands}, JOURNAL = {J. 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Complexity}, VOLUME = {26}, NUMBER = {2}, PAGES = {187-199}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {integral operators, multi-scale kernels, mercer's theory, positive definite kernels}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4Y5BMCF-1/2/837fb88ea5aa0c50bd471ad641d90ae6}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Zhang/10d, AUTHOR = {Zhang, Zhenxiang}, TITLE = {On the effectiveness of a generalization of Miller's primality theorem}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {2}, PAGES = {200-208}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {strong probable prime (sprp) tests, the miller primality test, the berrizbeitia-olivieri primality test, primality proving under the erh, compositeness detecting, complexity analysis}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4Y6451X-1/2/4698e2859f21ac80e38ec2715fa1a056}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Cheung-Cucker-Pena/10, AUTHOR = {Cheung, Dennis and Cucker, Felipe and Pe{\~n}a, Javier}, TITLE = {On strata of degenerate polyhedral cones, II: Relations between condition measures}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {2}, PAGES = {209-226}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {linear programming, complementarity problems, condition numbers}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4XNF41K-1/2/5e44bcb6e8099a648b377894ade2fba1}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Hickernell-Muller-Gronbach-Niu-Ritter/10, AUTHOR = {Hickernell, Fred J. and M{\"u}ller-Gronbach, Thomas and Niu, Ben and Ritter, Klaus}, TITLE = {Multi-level Monte Carlo algorithms for infinite-dimensional integration on $\mathbb {R^N}$}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {3}, PAGES = {229-254}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {infinite-dimensional quadrature, integration on sequence spaces, multi-level method, tractability, fixed subspace sampling, variable subspace sampling, minimal errors}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4YJ4N99-2/2/66648c9386751e039a875d7543534ffe}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Cucker-Hauser-Lotz/10, AUTHOR = {Cucker, Felipe and Hauser, Raphael and Lotz, Martin}, TITLE = {Adversarial smoothed analysis}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {3}, PAGES = {255-262}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {condition numbers, random matrices, average case analysis, smoothed analysis}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4YYXJMW-1/2/12ac9ed5b292536850e133411f32f112}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Grigoriev-Tenenbaum/10, AUTHOR = {Grigoriev, Dima and Tenenbaum, G{\'e}rald}, TITLE = {A low complexity probabilistic test for integer multiplication}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {3}, PAGES = {263-267}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {probabilistic test, integer multiplication, small divisors}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4Y34PW2-2/2/d4bbfade8caaeaf63de95a41e746181d}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Li-Hu-Wang/10, AUTHOR = {Li, Chong and Hu, Nuchun and Wang, Jinhua}, TITLE = {Convergence behavior of Gauss-Newton's method and extensions of the Smale point estimate theory}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {3}, PAGES = {268-295}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {gauss-newton's method, majorizing sequence, convergence criterion, convergence ball}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4YF5R4X-1/2/d3b310768dd13a17b1718e6a6c6665c5}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Pan-Perez-Jimenez/10, AUTHOR = {Pan, Linqiang and P{\'e}rez-Jim{\'e}nez, Mario J.}, TITLE = {Computational complexity of tissue-like P systems}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {3}, PAGES = {296-315}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {membrane computing, tissue p systems, cell separation, sat}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4YMB646-1/2/d82d73c274a2ab7963aa0be20f85ee8c}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Argyros-Hilout/10, AUTHOR = {Argyros, Ioannis K. and Hilout, Sa{\"{i}}d}, TITLE = {Improved generalized differentiability conditions for Newton-like methods}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {3}, PAGES = {316-333}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {newton-like method, majorizing sequence, semilocal convergence, chandrasekhar nonlinear integral equation, radiative transfer, differential equation with green's kernel}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4Y34PW2-1/2/80137ac52b3c631a132476e8cec2db34}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Guanggui-Pengjuan-Xinjian/10, AUTHOR = {Guanggui, Chen and Pengjuan, Nie and Xinjian, Luo}, TITLE = {The approximation characteristic of diagonal matrix in probabilistic setting}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {4}, PAGES = {336-343}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {diagonal matrix, probabilistic setting, linear (n,[delta])-width, p-average linear n-width}, URL = {http://www.sciencedirect.com/science/article/B6WHX-50106TF-1/2/a4149d3812d46c00dadcdc4cf35b4218}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Cheze/10, AUTHOR = {Ch{\`e}ze, Guillaume}, TITLE = {Nearly optimal algorithms for the decomposition of multivariate rational functions and the extended L{\"u}roth theorem}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {4}, PAGES = {344-363}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {algorithm, complexity, decomposition, l{\'o}roth's theorem, factorization}, URL = {http://www.sciencedirect.com/science/article/B6WHX-5023KJ1-2/2/2a15aff0b3148b446fe335d37c8a36d0}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Chen-Hsu-Chao/10, AUTHOR = {Chen, Kuan-Yu and Hsu, Ping-Hui and Chao, Kun-Mao}, TITLE = {Hardness of comparing two run-length encoded strings}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {4}, PAGES = {364-374}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {compressed pattern matching, run-length encoding, sequence comparison}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4YT0570-2/2/e90d23d7cb5525ebae32661f479c64b5}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Song-Xu/10, AUTHOR = {Song, Guohui and Xu, Yuesheng}, TITLE = {Approximation of high-dimensional kernel matrices by multilevel circulant matrices}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {4}, PAGES = {375-405}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {kernel matrices, circulant matrices, multilevel circulant matrices, fast kernel-based methods}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4YJ4N99-1/2/db4bc0bb73dc7bc0e107cd490e80765c}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Papageorgiou-Wozniakowski/10, AUTHOR = {Papageorgiou, Anargyros and Wozniakowski, Henryk}, TITLE = {Tractability through increasing smoothness}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {5}, PAGES = {409-421}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {multivariate problems, tractability}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4Y34PW2-3/2/d5b8776a93ba3220c665f4cb6ac72cac}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Kuo-Sloan-Wasilkowski-Wozniakowski/10, AUTHOR = {Kuo, Frances Y. and Sloan, Ian H. and Wasilkowski, Grzegorz W. and Wo{\'z}niakowski, Henryk}, TITLE = {Liberating the dimension}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {5}, PAGES = {422-454}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {infinite dimensional integration, tractability, randomly shifted lattice rules, worst case error}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4Y35THG-1/2/0d0bf10df7dca052e915b821ca482bd1}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Griebel-Holtz/10, AUTHOR = {Griebel, Michael and Holtz, Markus}, TITLE = {Dimension-wise integration of high-dimensional functions with applications to finance}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {5}, PAGES = {455-489}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {anova decomposition, numerical integration, sparse grids, effective dimension}, URL = {http://www.sciencedirect.com/science/article/B6WHX-50F8BT9-1/2/b1c278f2e0e3ad9714b17aee72497c74}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Doerr-Gnewuch-Wahlstrom/10, AUTHOR = {Doerr, Benjamin and Gnewuch, Michael and Wahlstr{\"o}m, Magnus}, TITLE = {Algorithmic construction of low-discrepancy point sets via dependent randomized rounding}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {5}, PAGES = {490-507}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {star discrepancy, low-discrepancy points, randomized rounding, derandomization}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4YT6D3V-1/2/a75b2b4c235f5e0d1d40eca084e2b4aa}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Pfluger-Peherstorfer-Bungartz/10, AUTHOR = {Pfl{\"u}ger, Dirk and Peherstorfer, Benjamin and Bungartz, Hans-Joachim}, TITLE = {Spatially adaptive sparse grids for high-dimensional data-driven problems}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {5}, PAGES = {508-522}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {spatially adaptive sparse grids, high-dimensional approximation, classification, regularization, non-smooth functions}, URL = {http://www.sciencedirect.com/science/article/B6WHX-4YWB2D3-1/2/fcd6bf419e52599b1c257b7d7ca3b565}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Griebel-Kuo-Sloan/10, AUTHOR = {Griebel, Michael and Kuo, Frances Y. and Sloan, Ian H.}, TITLE = {The smoothing effect of the ANOVA decomposition}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {5}, PAGES = {523-551}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {anova decomposition, smoothing, option pricing}, URL = {http://www.sciencedirect.com/science/article/B6WHX-5017HHT-1/2/b730b783ebe3cb77b58253024dd11cd4}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Le_Gia-Tran/10, AUTHOR = {Le Gia, Q.T. and Tran, T.}, TITLE = {An overlapping additive Schwarz preconditioner for interpolation on the unit sphere with spherical radial basis functions}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {5}, PAGES = {552-573}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {interpolation, unit sphere, radial basis function, additive schwarz preconditioner}, URL = {http://www.sciencedirect.com/science/article/B6WHX-50F8BT9-3/2/33b1cbd028bd6ada4a0c6e0c4768a548}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Argyros-Hilout/10a, AUTHOR = {Argyros, Ioannis K. and Hilout, Sa{\"{i}}d}, TITLE = {Inexact Newton-type methods}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {6}, PAGES = {577-590}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {inexact newton-type method, newton's method, recurrent functions, banach space, semilocal convergence}, URL = {http://www.sciencedirect.com/science/article/B6WHX-50XS6F6-3/2/35608b790e71ffccf61071ccd7101363}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Babenko-Borodachov-Skorokhodov/10, AUTHOR = {Babenko, Vladislav F. and Borodachov, Sergiy V. and Skorokhodov, Dmytro S.}, TITLE = {Optimal recovery of isotropic classes of twice-differentiable multivariate functions}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {6}, PAGES = {591-607}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {optimal recovery of functions, worst-case error, class of twice-differentiable functions, optimal covering}, URL = {http://www.sciencedirect.com/science/article/B6WHX-50PJWT7-2/2/9d48e077a04d348a1ef23215908d6f9f}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Weimann/10, AUTHOR = {Weimann, Martin}, TITLE = {A lifting and recombination algorithm for rational factorization of sparse polynomials}, JOURNAL = {J. Complexity}, VOLUME = {26}, NUMBER = {6}, PAGES = {608-628}, YEAR = {2010}, EDITOR = {Traub, J.F.}, KEYWORDS = {bivariate factorization, newton polytope, algorithm, lifting and recombination, toric surface, cartier divisor}, URL = {http://www.sciencedirect.com/science/article/B6WHX-50G6W6S-1/2/4e84b00a2dabbf7713662fa59b69a60b}, PUBLISHER = {Elsevier B.V.}, ADDRESS = {Amsterdam-Boston-Jena-London-New York-Oxford-Paris-Philadelphia-San Diego-St. Louis}, } @article{Foucart-Pajor-Rauhut-Ullrich/10, AUTHOR = {Foucart, Simon and Pajor, Alain and Rauhut, Holger and Ullrich, Tino}, TITLE = {The Gelfand widths of $\ell_p$-balls for $0