Generalized optimal lattice covering of finite-dimensional Euclidean space

被引：0

作者：

Bryant, D

Diamond, P ^{[1
]}

Vladimirov, I

机构：

[1] Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia

[2] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 101447, Russia

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1998年 / 282卷 / 1-3期

基金：

澳大利亚研究理事会;

关键词：

lattice covering; generalized norm; Voronoi cell;

D O I：

10.1016/S0024-3795(98)10081-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A generalization of the classical problem of optimal lattice covering of R-n is considered. Solutions to this generalized problem are found in two specific classes of lattices. The global optimal solution of the generalization is found for R-2. (C) 1998 Elsevier Science Inc. All rights reserved.

引用

页码：311 / 324

页数：14

共 50 条

[1] Classification of Pairs of Rotations in Finite-Dimensional Euclidean Space
Darpo, Erik
[J]. ALGEBRAS AND REPRESENTATION THEORY, 2009, 12 (2-5) : 333 - 342
[2] Classification of Pairs of Rotations in Finite-Dimensional Euclidean Space
Erik Darpö
[J]. Algebras and Representation Theory, 2009, 12 : 333 - 342
[3] DIFFERENTIABILITY OF METRIC PROJECTION IN FINITE-DIMENSIONAL EUCLIDEAN SPACE
ASPLUND, E
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 38 (01) : 218 - 219
[4] Approximability of the optimal routing problem in finite-dimensional Euclidean spaces
Khachai, M. Yu
Dubinin, R. D.
[J]. TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2016, 22 (02): : 292 - 303
[5] SOLVING HERMITE INTERPOLATION PROBLEM IN FINITE-DIMENSIONAL EUCLIDEAN SPACE
Kashpur, O. F.
[J]. CYBERNETICS AND SYSTEMS ANALYSIS, 2022, 58 (02) : 259 - 267
[6] Solving Hermite Interpolation Problem in Finite-Dimensional Euclidean Space
O. F. Kashpur
[J]. Cybernetics and Systems Analysis, 2022, 58 : 259 - 267
[7] Coherent states for a generalized oscillator with a finite-dimensional Hilbert space
Borzov V.V.
Damaskinsky E.V.
[J]. Journal of Mathematical Sciences, 2007, 143 (1) : 2738 - 2753
[8] ALMOST EUCLIDEAN QUOTIENT-SPACES OF SUBSPACES OF A FINITE-DIMENSIONAL NORMED SPACE
MILMAN, VD
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 94 (03) : 445 - 449
[9] FINITE-DIMENSIONAL REPRESENTATIONS OF THE EUCLIDEAN GROUP IN THE PLANE
GRUBER, B
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1982, 6 (05) : 329 - 334
[10] ON PARTIAL ISOMETRIES IN FINITE-DIMENSIONAL EUCLIDEAN SPACES
ERDELYI, I
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1966, 14 (03) : 453 - &

← 1 2 3 4 5 →