Zero Assignment, Pole Placement and Matrix Extension Problems: a Common Point of View
نویسندگان
چکیده
The paper studies a general inverse eigenvalue problem which contains as special cases many well studied pole placement and matrix extension problems. It is shown that the studied problem corresponds on the geometric side to a central projection from some projective variety. The degree for this variety is computed in the critical dimension.
منابع مشابه
Matrix Extension Problems: A Common Point of View
The paper studies a general inverse eigenvalue problem which contains as special cases many well studied pole placement and matrix extension problems. It is shown that the studied problem corresponds on the geometric side to a central projection from some projective variety. The degree for this variety is computed in the critical dimension.
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The paper studies a general inverse eigenvalue problem which generalizes many well studied pole placement and matrix extension problems. It is shown that the problem corresponds geometrically to a so-called central projection from some projective variety. The degree of this variety represents the number of solutions the inverse problem has in the critical dimension. We are able to compute this ...
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تاریخ انتشار 1999