Max-plus Definite Matrix Closures and Their Eigenspaces
نویسنده
چکیده
In this paper we introduce the definite closure operation for matrices with finite permanent, reveal inner structures of definite eigenspaces, and establish some facts about Hilbert distances between these inner structures and the boundary of the definite eigenspace.
منابع مشابه
Solution of Linear Matrix Equation AXD −BXC = S SOLUTION OF LINEAR MATRIX EQUATION AXD −BXC = S AND PERTURBATION OF EIGENSPACES OF A MATRIX PENCIL. I†
Let A − λB and C − λD be two normal matrix pencils or Hermitian matrix pencils or definite matrix pencils, and let AXD −BXC = S. Our main results in this part are estimates of a unitarily invariant norm of the solution X under some conditions on the spectra of two pencils. §
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تاریخ انتشار 2005