The Generalized Rayleigh Quotient
1974 ◽
Vol 17
(2)
◽
pp. 251-256
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Keyword(s):
In this paper we generalize the concept of the Rayleigh quotient to a complex Banach space. Lord Rayleigh investigated the quotient(1)considered as a function of the components of q, in the case of a symmetric matrix pencil Aλ+C with A positive definite. It is known that R(q) has a stationary value when q is a characteristic vector of Aλ+C and that(2)where qi is a characteristic vector corresponding to the characteristic value λi
1985 ◽
Vol 97
(2)
◽
pp. 321-324
Keyword(s):
1980 ◽
Vol 87
(1)
◽
pp. 47-50
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1997 ◽
Vol 56
(2)
◽
pp. 303-318
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Keyword(s):
1978 ◽
Vol 30
(5)
◽
pp. 1045-1069
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Keyword(s):
1968 ◽
Vol 8
(1)
◽
pp. 119-127
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1986 ◽
Vol 28
(2)
◽
pp. 193-198
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1984 ◽
Vol 96
(3)
◽
pp. 483-493
◽
1981 ◽
Vol 22
(1)
◽
pp. 77-81
◽