THE CONDITION NUMBERS OF A QUADRATIC MATRIX EQUATION
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In this paper we consider the quadratic matrix equation which can be defined by Q(X) = AX^2 + BX + C = 0,where X is a n × n unknown complex matrix, and A,B and C are n × n given matrices with complex elements. We first introduce a couple of condition numbers of the equation Q(X) and present normwise condition numbers. Finally, we compare the results and some numerical experiments are given.
Abstract
In this paper we consider the quadratic matrix equation which can be defined by Q(X) = AX^2 + BX + C = 0,where X is a n × n unknown complex matrix, and A,B and C are n × n given matrices with complex elements. We first introduce a couple of condition numbers of the equation Q(X) and present normwise condition numbers. Finally, we compare the results and some numerical experiments are given.
참고문헌 (6)
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- Yiqin Lin, "Condition Numbers of the Generalized Sylvester Equation", IEEE Transactions on Automatic Control, 52, pp.2380~2385 (2007)
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