Fetching the paper…
Reading the bibliography…
We investigate quasi-Monte Carlo (QMC) integration of bivariate periodic functions with dominating mixed smoothness of order one.
N. Aronszajn: Theory of Reproducing Kernels. Transactions of the American Mathematical Society 68:1950, 337–404
1950
Earlier work this paper cites.
G. Wahba: Smoothing noisy data with spline functions. Numerische Mathematik 24(5):1975, 383–393
1975
Earlier work this paper cites.
P. Zinterhof: Über einige Abschätzungen bei der Approximation von Funktionen mit Gleichverteilungsmethoden. Österreich. Akad. Wiss. Math.-Naturwiss. Kl. S.-B. II 185:1976, 121–132
1976
Earlier work this paper cites.
B.E. White: On optimal extreme-discrepancy point sets in the square. Numerische Mathematik 27: 1977, 157–164
1977
Earlier work this paper cites.
V. T. Sós, S. K. Zaremba: The mean-square discrepancies of some two-dimensional lattices. Studia Scientiarum Mathematicarum Hungarica 14:1982, 255–271
1982
Earlier work this paper cites.
J. C. Bezdek, R. J. Hathaway, R. E. Howard, C. A. Wilson, M. P. Windham: Local convergence analysis of a grouped variable version of coordinate descent. J. of Optimization Theory and Applications 54(3):1987, 471–477
1987
Earlier work this paper cites.
H. Niederreiter: Quasi-Monte Carlo Methods and Pseudo-Random Numbers
1987
Earlier work this paper cites.
J. M. Ortega, W. C. Rheinboldt: Iterative Solution of Nonlinear Equations in Several Variables
1987
Earlier work this paper cites.
V. N. Temlyakov: Error estimates for Fibonacci quadrature formulae for classes of functions. Trudy Mat. Inst. Steklov 200:1991, 327–335
1991
Cited alongside, same era.
Z. Q. Luo, P. Tseng: On the convergence of the coordinate descent method for convex differentiable minimization. J. of Optimization Theory and Applications 72(1):1992, 7–35
1992
Cited alongside, same era.
H. Niederreiter, I. H. Sloan: Integration of nonperiodic functions of two variables by Fibonacci lattice rules. J. of Computational and Applied Mathematics 51:1994, 57–70
1994
Cited alongside, same era.
I. H. Sloan, S. Joe: Lattice Methods for Multiple Integration
1994
Cited alongside, same era.
G.J. McLachlan and T. Krishnan. The EM Algorithm and Extensions. Wiley series in probability and statistics. John Wiley & Sons, 1997
1997
Cited alongside, same era.
T. Pillards, B. Vandewoestyne, R. Cools: Minimizing the L 2 L_{2} and L ∞ L_{∞} star discrepancies of a single point in the unit hypercube. J. of Computational and Applied Mathematics 197:2006, 282–285
2006
Later among the works it cites.
G. Larcher, F. Pillichshammer: A note on optimal point distributions in [ 0 , 1 ) s [0,1)^{s} . J. of Computational and Applied Mathematics 206:2007, 977–985
2007
Later among the works it cites.
J. Dick, F. Pillichshammer: Digital Nets and Sequences: Discrepancy Theory and Quasi–Monte Carlo Integration
2010
Later among the works it cites.
E. Novak, H. Woźniakowski: Tractability of Multivariate Problems. Volume II: Standard Information for Functionals
2010
Later among the works it cites.
D. Bilyk, V. N. Temlyakov, R. Yu: Fibonacci sets and symmetrization in discrepancy theory. J. of Complexity 28:2012, 18–36
2012
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
L. Grippo, M. Sciandrone: On the convergence of the block nonlinear Gauß–Seidel method under convex constraints. Operations Research Letters 26(3):2000, 127–136
2000
Cited alongside, same era.
J. Nocedal, S.J. Wright: Numerical Optimization
2006
Cited alongside, same era.
Later among the works it cites.
A. Uschmajew: Local convergence of the alternating least squares algorithm for canonical tensor approximation. SIAM Journal on Matrix Analysis and Applications 33(2):2012, 639–652
2012
Later among the works it cites.
T. Ullrich, D. Zung: Lower bounds for the integration error for multivariate functions with mixed smoothness and optimal Fibonacci cubature for functions on the square. Math. Nachr. 288(7):2015, 743–762
2015
Closest in time.