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.
The structured distance to normality of an irreducible real tridiagonal matrix / Noschese, Silvia; Pasquini, Lionello; Reichel, L.. - In: ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. - ISSN 1068-9613. - 28:(2007), pp. 65-77.
The structured distance to normality of an irreducible real tridiagonal matrix
NOSCHESE, Silvia;PASQUINI, Lionello;
2007
Abstract
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.File allegati a questo prodotto
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