Characteristic roots and the field of values of a matrix
نویسندگان
چکیده
منابع مشابه
Characteristic Roots and Field of Values of a Matrix
From (1) it follows tha tX = x^4x*. The set of all complex numbers zAz* where zz* — \ is called the field of values [25] of the matrix A. It follows that the characteristic roots of A belong to the field of values of A. Beginning with Bendixson [3] in 1900, many writers have obtained limits for the characteristic roots of a matrix. In many cases these were actually limits for the field of value...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 1948
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-48-01542-7