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Eigenvalues of the unitary part of a matrix

Alfred Horn, Robert Steinberg

Pacific Journal of Mathematics · 1959 · 56 citations · 27 references

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Concepts

Abstract

LEMMA 3. If (X t ), (a t ) is realizable and z is any complex number of modulus 1, then (z\) f (za) is realizable.

References

27

An extremum property of sums of eigenvalues

Helmut Wielandt · Proceedings of the American Mathematical Society · 1955 · 121 citations

, , +5

The asymptotic distribution of the eigenvalues for a class of Markov operators

Robert George Blumenthal, R. K. Getoor · Pacific Journal of Mathematics · 1959 · 117 citations · Full text

, , +9

A duality theorem for an arbitrary operator

Errett Bishop · Pacific Journal of Mathematics · 1959 · 107 citations · Full text

, , +9

On the eigenvalues of a matrix with prescribed singular values

Alfred Horn · Proceedings of the American Mathematical Society · 1954 · 103 citations · Full text

, , +10

<i>p</i>-cyclic matrices: A generalization of the Young-Frankel successive overrelaxation scheme

Richard S. Varga · Pacific Journal of Mathematics · 1959 · 97 citations · Full text

, , +2