2009年03月30日

Computers and Mathematms with Apphcatmns 50(2005)539-549，-0001，（）：

-1年11月30日

Based on the projection theorem m Hfibert space, by making use of the generahzed singular value decompomtion and the canomcal correlation decomposition, an analytical expression of the least-squares solutmn for the matrix equatmn (AXB, GXH)=(C, D) with the minimum-norm is derived An algorithm for finding the minimum-norm solutmn is described and some numerical results have been given

Matnx equation， Least-squares solution， Urn]mum-norm solutmn， Generahzed singular value decomposltion， Canomcal correlation decomposition

2009年03月30日

Journal of Computational Mathematics, 17, 6, 1999, 589-594，-0001，（）：

-1年11月30日

Least squares solution of F=PG with respect to positive semidefinite symmetric P is considered, a new necessary and sufficient condition for solvablity is given, and the expression of solution is derived in the some special cases. Based on the ex-pression, the least spuares solution of an inverse eigenvalue problem for positive semidefinite symmetric matrices is also given.

Least squares solution， Matrix equation， Inverse eigenvalue problem， Positive semidefinite symmetric matrix.，

2009年03月30日

-1年11月30日

In this paper, four inverse eigenproblems with given three elgenvalues and cor-responding eigenvectors are considered, some necessary and sufficient conditions under which there exists a unique solution for these problems are given. Further-more some numerical algorithms and some numerical experiments are given.

Jacobi matrix， Inverse eigenproblem， Tridiagonal symmetric ma-trix

2009年03月30日

A Journal of Chinese Universities, 1998, Vol. 7, No.2, 195-200，-0001，（）：

-1年11月30日

Consider the solutions of the matrix inverse problem, which are symmetric positive semide finite on a subspace. Necessary and su f ficent conditions for the solvability, as well as the general solution are obtained. The best approa'imate solution by the above solution set is given. Thus the open problem in [1] is solved.

Matrix inverse problem， symmetric positive semidefinite matrix， best approzimate so-lution

2009年03月30日

-1年11月30日

• 廖安平 邀请

湖南大学，湖南

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