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1)  doubly symmetric five-diagonal matrix
双对称五对角矩阵
1.
In this paper,a kind of inverse eigenvalue problem is proposed, which is the reconstruction of doubly symmetric five-diagonal matrix by two eigenvalues and corresponding symmetric eigenvectors or anti-symmetric eigenvectors.
主要研究双对称五对角矩阵逆特征问题的可解性。
2)  real symmetric five-diagonal matrix
实对称五对角矩阵
3)  anti-bidiagonal symmetric matrix
斜对称双对角矩阵
4)  symmetric bi-edge diagonal matrix
对称双边对角矩阵
1.
The properties and gemeralized linverses of a symmetric bi-edge diagonal matrix;
对称双边对角矩阵的性质及广义逆
5)  five-diagonal matrix
五对角矩阵
6)  bisymmetric matrix
双对称矩阵
1.
In this paper,the inversable matrix solution of a kind of real matrix equation X~△AX=A is considered,where A is a inversable bisymmetric matrix,X~△is bisymmetric transposed matrix of X,and their general solution forms are derived; the bisymmetric solution of a kind of real matrix equation XAX=A is considered,and their general solution forms are derived too.
本文讨论了实矩阵方程X~△AX=A(A为非退化实双对称矩阵,X~△为X的双转置矩阵)的非退化解问题,并给出一般解的形式;同时讨论了实矩阵方程XAX=A的双对称解问题,并给出了一般解的形式。
2.
By this iterative method,the least squares bisymmetric solution can be obtained within finite iterative steps in the absence of round off errors,and the solution with least norm can be got by choosing a special initial bisymmetric matrix.
同时,也能够给出指定矩阵的最佳逼近双对称矩阵。
3.
This paper has discussed the generalized inverse eigenvalue problem of centrosymmetric matrix,anti-centrosymmetric matrix and bisymmetric matrix.
本文讨论了在谱约束条件下中心对称矩阵、反中心对称矩阵和双对称矩阵的一般化逆特征值问
补充资料:对角矩阵


对角矩阵
diagonal matrix

  对角矩阵[血,司比.七妞;八.arooa二‘ua,MaTp“职] 一个方阵,其中除主对角线上的元素可能不是零以外,其余元素都是零.0.A.”般H。股撰【补注】域K上的(陀xn)对角矩阵具有下列形式: ra.o……O、 10几·…认01 LO···……a,)其中a‘是K的元素.张鸿林译
  
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