Xingzhi Ji 1998 Inverse Problems 14 275 doi:10.1088/0266-5611/14/2/004
On matrix inverse eigenvalue problems
Xingzhi Ji
Show affiliationsThis paper discusses the matrix inverse eigenvalue problem: given matrices 
, find scalars 
such that
has the prescribed eigenvalues 
. It is proven that this problem is equivalent to the joint eigenpair problem of a family of related matrix pencils. Furthermore, the conditions under which this problem possesses a solution are given. A method for solving the joint eigenpair problem of a family of matrix pencils is then presented, which, in turn, gives all solutions of the problem. Some results in this paper may be of individual interest.
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Issue 2 (April 1998)
Received 24 June 1996, in final form 28 August 1997
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On matrix inverse eigenvalue problems
Xingzhi Ji 1998 Inverse Problems 14 275
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