Numerically stable real number codes based on random matrices

被引:0
|
作者
Chen, ZZ [1 ]
Dongarra, J [1 ]
机构
[1] Univ Tennessee, Dept Comp Sci, Knoxville, TN 37996 USA
关键词
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Error correction codes defined over real-number field have been studied and recognized as useful in many applications. However, most real-number codes in literature are quite suspect in their numerical stability. In this paper, we introduce a class of real-number codes based on random generator matrices over real-number fields. Codes over complex-number field are also discussed. Experiment results demonstrate our codes are numerically much more stable than existing codes in literature.
引用
收藏
页码:115 / 122
页数:8
相关论文
共 50 条
  • [31] Minimum norm solution based approach to decoding of real number BCH codes
    Rozic, N
    Begusic, D
    Vrdoljak, M
    [J]. 2000 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, PROCEEDINGS, 2000, : 92 - 92
  • [32] Numerically stable LDLT-factorization of F-type saddle point matrices
    De Niet, Arie C.
    Wubs, Fred W.
    [J]. IMA JOURNAL OF NUMERICAL ANALYSIS, 2009, 29 (01) : 208 - 234
  • [33] A Real Quaternion Spherical Ensemble of Random Matrices
    Mays, Anthony
    [J]. JOURNAL OF STATISTICAL PHYSICS, 2013, 153 (01) : 48 - 69
  • [34] Characteristic polynomials of real symmetric random matrices
    Brézin, E
    Hikami, S
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2001, 223 (02) : 363 - 382
  • [35] Characteristic Polynomials¶of Real Symmetric Random Matrices
    E. Brézin
    S. Hikami
    [J]. Communications in Mathematical Physics, 2001, 223 : 363 - 382
  • [36] Real symmetric random matrices and path counting
    Cicuta, GM
    [J]. PHYSICAL REVIEW E, 2005, 72 (02):
  • [37] A Real Quaternion Spherical Ensemble of Random Matrices
    Anthony Mays
    [J]. Journal of Statistical Physics, 2013, 153 : 48 - 69
  • [38] Constructing Random Matrices to Represent Real Ecosystems
    James, Alex
    Plank, Michael J.
    Rossberg, Axel G.
    Beecham, Jonathan
    Emmerson, Mark
    Pitchford, Jonathan W.
    [J]. AMERICAN NATURALIST, 2015, 185 (05): : 680 - 692
  • [39] On the Number of Real Zeros of Random Fewnomials
    Buergisser, Peter
    Ergur, Alperen A.
    Tonelli-Cueto, Josue
    [J]. SIAM JOURNAL ON APPLIED ALGEBRA AND GEOMETRY, 2019, 3 (04) : 721 - 732
  • [40] Complex random matrices have no real eigenvalues
    Luh, Kyle
    [J]. RANDOM MATRICES-THEORY AND APPLICATIONS, 2018, 7 (01)