عنوان
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On the Sensitivity of the Canonical Angles of a Unitoid Matrix
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نوع پژوهش
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مقاله چاپشده
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کلیدواژهها
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congruence transformation, unitoid, cosquare, canonical angle, circulant
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چکیده
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unitoid matrix is a square complex matrix that can be brought to diagonal form by a Hermitian congruence transformation. The canonical angles of a nonsingular unitoid matrix A are (up to the factor 1/2) the arguments of the eigenvalues of the cosquare of A, which is the matrix A−∗A. We derive an estimate for the derivative of an eigenvalue of the cosquare in the direction of the perturbation in A−∗A caused by a perturbation in A.
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پژوهشگران
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حکیم ایکراموف (نفر اول)، علی محمد نظری (نفر دوم)
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