The Structured Distance to Normality of an Irreducible Real Tridiagonal Matrix

نویسنده

  • S. NOSCHESE
چکیده

The problem of computing the distance in the Frobenius norm of a given real irreducible tridiagonal matrix T to the algebraic variety of real normal irreducible tridiagonal matrices is solved. Simple formulas for computing the distance and a normal tridiagonal matrix at this distance are presented. The special case of tridiagonal Toeplitz matrices also is considered.

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تاریخ انتشار 2007