On the Lyapunov Matrix Equation and Bounds for the Characteristic Roots of a Real Matrix
نویسندگان
چکیده
منابع مشابه
determinant of the hankel matrix with binomial entries
abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.
15 صفحه اولThe Characteristic Roots of a Matrix*
If A is a square matrix of order n and I is the unit matrix, the equation in X obtained by equating to zero the determinant \A— \l\ is called the characteristic equation of A. The roots of this equation are called the characteristic roots of A. Although it is not possible to make any definite statement as to the nature of the characteristic roots of the general algebraic matrix A, several autho...
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15 صفحه اولLimits for the Characteristic Roots of a Matrix
Let A be a square matrix of order n with complex numbers as elements. The equation |XJ—A | = 0 is called the characteristic equation of the matrix A, and the roots X;, the characteristic roots of the matrix A. Although it is not possible to make any definite statements regarding the nature of the characteristic roots for the general matrix, several authors have given upper limits to the roots. ...
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ژورنال
عنوان ژورنال: Transactions of the Society of Instrument and Control Engineers
سال: 1982
ISSN: 0453-4654
DOI: 10.9746/sicetr1965.18.537