The Rayleigh quotient and dynamic programming
1978 ◽
Vol 1
(4)
◽
pp. 401-405
Keyword(s):
The purpose of this paper is to derive a nonlinear partial differential equation for whichλgiven by (1.3), is one value of the solution. In Section 2, we derive this equation using a straightforward dynamic programming approach. In Section 3, we discuss some computational aspects of derermining the solution of this equation. In Section 4, we show that the same method may be applied to the nonlinear characteristic value problem. In Section 5, we discuss how the method may by applied to find the higher characteristic values. In Section 5, we discuss how the same method may be applied to some matrix problems. Finally, in Section 7, we discuss selective computation.
2012 ◽
Vol E95-B
(2)
◽
pp. 551-562
◽
Keyword(s):
2013 ◽
Vol 65
(4)
◽
pp. 634-645
◽