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Hermite矩阵的γ-性质及Scaling稳定性分析 被引量：2

On γ-Property of Hermite Matrices and the Analysis of the Scaling Stability
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摘要 给出了Hermite矩阵的γ-性质的概念，利用矩阵特征值的扰动理论给出了Hermite矩阵具有γ-性质的充要条件，同时给出了γ-常数的存在条件，此外对具有γ-性质的Hermite矩阵的Scaling稳定性进行了分析． A concept of the γ-property of hermite matrices is presented. A necessary and sufficient condition for a hermite matrix to have the γ-property, and the constant γ, when it exists, are given. Further, the scaling stability of the hermite matrix which has the γ-property is investigated.
作者 赵雪
机构地区 北华大学理学院 吉林吉林
出处 《北华大学学报（自然科学版）》 CAS 2006年第5期392-394,共3页 Journal of Beihua University（Natural Science）
关键词 HERMITE矩阵 γ-性质 平衡 稳定性 Hermite matrix γ-property Equilibrium stability
分类号 O151.21 [理学—基础数学]
  • 相关文献

参考文献3

  • 1殷庆祥.对称矩阵的β-性质及其Scaling稳定性分析[J].计算数学,2003,25(3):305-310. 被引量：1
  • 2[2]TI Fenner,G Loizou.Some New Bounds on the Condition Numbers of Optimally Scaled Matrices[J].Journal of the ACM,1974,21(3):514～524.
  • 3[3]BN Parlett.The Symmetric Eigenvalue Problem,Prentice-Hall,Inc,Englewood Cliff,NJ,1980.

二级参考文献4

  • 1T.Fenner, G.Loizou, Some New Bounds on the Condition Numbers of Optimally Scaled Matrices, J. Assoc. Comp. Math., 21(1974), 514-524.
  • 2R.Skeel, Scaling for Numerical Stability in Gaussian Elimination, J. Assoc. Comp. Math.,26(1979), 494-526.
  • 3G.E.Forsythe, C.Moler, Computer Solution of Linear Algebraic System, Prentice-Hall,Englewood Cliffs, NJ. 1967.
  • 4B.N.Parlett, The Symmetric Eigenvalue Problem, Prentice-Hall, Englewood Cliffs, NJ.1980.

同被引文献15

  • 1邵银波,李强,王永良,陈辉,肖奚安.空时自适应处理的通用平台设计与实现[J].电子与信息学报,2006,28(2):317-321. 被引量：6
  • 2Brennan L E, Reed I S. Theory of adaptive radar[J]. IEEE Trans AES, 1973, 9 (2) : 237 - 252.
  • 3Alok Choudhary, Wei-keng Liao, Donald Weiner, et al. Design, implementation and evaluation of parallel pipelined STAP on parallel computers [ J ]. IEEE Trans. on AES, 2000, 36(2): 528-548.
  • 4Kyusoon Lee, Adam W. Bojanczyk. Performance modeling and optimization framework for space time adaptive processing [ C ]//Proceedings of the 18th International Parallel and Distributed Processing Symposium (IPDPSO4). [ S. l. ] : [ s. n. ], 2004.
  • 5Sacki Agelis, Magnus Jonsson. Reconfigurable optical interconnection system supporting concurrent application specific parallel computing [ C]// Proceedings of the 17th International Symposium on Computer Architecture and High Performanee Computing, [ S. l. ]: [ s. n. ], 2005.
  • 6Rajan K, Patnaik L M. Implementation of STAP algorithms on IBM SP2 and on ADSP 21062 dual digital signal processor systems [ J ]. Microprocessors and Microsystems, 2003, 27(4) : 221 -227.
  • 7James Ward. , Space-Time Adaptive Processing for Airborne Radar[ R ]. Massachusetts Institute of technology, Lincoln Laboratory, Lexington 1015, 1994.
  • 8Higham N J. Accuracy and stability of numerical algorithm [ M]. 2nd Edition. [ S. l. ] :SIAM philadephia, 2002.
  • 9Brennan L E, Reed I S. Theory of Adaptive Radar[J]. IEEE Trans. AES, 1973, 9(2) :237 - 252.
  • 10Ylinen M, Burian A, Takala J. Direct Versus Iterative Methods for Fix-point Implementation of Matrix Inversion[C]//IEEE ISCAS, 2004:225 - 228.

引证文献2

二级引证文献5

北华大学学报（自然科学版）
2006年 第5期

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