On the Analysis of the Unsymmetric Successive Overrelaxation Method when Applied to p-Cyclic Matrices.
Yiannis G. Saridakis (1986)
Numerische Mathematik
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Yiannis G. Saridakis (1986)
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J.H. VERNER, M.J.M. BERNAL (1968)
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H. SCHNEIDER (1965)
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J. SCHRÖDER (1970)
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D.M. YOUNG (1970/71)
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J.H. WILKINSON (1962/63)
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J.J.H. MILLER (1967)
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C.G. BROYDEN (1964)
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Maria Jankiewicz (1974)
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David J. Grynkiewicz (2006)
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Béla Nagy (2013)
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Two characterizations of the reductivity of a cyclic normal operator in Hilbert space are proved: the equality of the sets of cyclic and *-cyclic vectors, and the equality L²(μ) = P²(μ) for every measure μ equivalent to the scalar-valued spectral measure of the operator. A cyclic subnormal operator is reductive if and only if the first condition is satisfied. Several consequences are also presented.