Quasidirect Decompositions of Full Rank Hankel Matrices
满秩Hankel矩阵的拟直分解(英文)
摘要
This paper studies the decomposition of a full rank (rectangular) Hankel matrix into the sum of Hankel matrices whose ranks add up to that of the original matrix.
本文研究行满秩Hankel矩阵分解为一个真正的(proper)Hankel矩阵与一个退化的(de- generate)Hankel矩阵之拟直和的存在性及唯一性问题.
基金
NaturalScienceFoundationoftheEducationDepartmentofGuizhouProvince(2002303)
参考文献8
-
1FIEDLER M. Quasidirect decompositions of Hankel and Toeplitz matrices [J]. Linear Algebra Appl., 1984,61: 155-174.
-
2VAVRIN Z. A unified approach to Loewner and Hankel matrices [J]. Linear Algebra Appl., 1991, 143: 171-222.
-
3FIEDLER M. Polynomials and Hankel matrices [J]. Linear Algebra Appl., 1985, 66: 235-248.
-
4PT(A)K V, VAV(R)(I)N Z. ZBézout, Hankel, and Loewner matrices [J]. Linear Algebra Appl., 1993, 184: 13-36.
-
5FUHRMANN P A. Remarks on the inversion of Hankel matrices [J]. Linear Algebra Appl., 1986, 81: 89-104.
-
6HEINIG G, JUNGNICKEL U. Hankel matrices generated by the Markov parameters of rational functions [J].Linear Algebra Appl., 1986, 76: 121-135.
-
7HORN R A, JOHNSON C R. Matrix Analysis [M]. Cambridge University Press, New York, 1985.
-
8ZHANG F. Matrix Theory: Basic Results and Techniques [M]. Springer-Verlag, New York, 1999.
-
1孙善利,王刚.Toeplitz算子的可分解性[J].吉林大学自然科学学报,1993(2):21-24.
-
2庄亚栋.关于函数可分解性的注记[J].扬州师院学报（自然科学版）,1992,12(3):10-14.
-
3卫瑞霞.f(T)的超可分解性[J].苏州大学学报（自然科学版）,1989,5(1):18-22.
-
4侯晋川,李丽君.一类正线性映射的可分解性和最优性[J].山西大学学报（自然科学版）,2012,35(2):181-187.
-
5孙立民.取值于Sobolev空间集值映射的连续选择[J].哈尔滨师范大学自然科学学报,2002,18(1):28-34.
-
6LIU Bing-chen,ZHANG Chang-cheng.Uniform Blow-up Behavior for Degenerate and Singular Parab olic Equations[J].Chinese Quarterly Journal of Mathematics,2016,31(2):125-138.
-
7蒋威,郑祖庥.ON THE DEGENERATE DIFFERENTIAL SYSTEM WITH DELAY[J].Annals of Differential Equations,1998,14(2):106-113. 被引量：1
-
8蹇明,杨长森.HARNACK'S INEQUALITIES FOR ANALYTIC OPERATOR FUNCTIONS[J].Acta Mathematica Scientia,1997,17(4):437-442.
-
9Su Jianbing (Department of Mathematics,Xuzhou Normal University,Xuzhou,221009).Extension of Proper _-holom orphic Mappings[J].Chinese Quarterly Journal of Mathematics,1998,13(3):59-63. 被引量：3
-
10穆军芬,李慧云,潘家平,李志阐.鞅空间KInK和M的关系[J].河北工业大学学报,2010,39(1):72-73.
