On the Eigenvalue Problem Tu Lambda Su 0 With Unbounded And Nonsymmetric O
On the Eigenvalue Problem Tu Lambda Su 0 With Unbounded And Nonsymmetric O
Walter V Petryshyn
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4. 1. The formulation of the method . In this section we formulate the method and derive some of its properties. Let us assume at the outset that there is given a well-known K-p, d. Operator C and constants M > M > such that D = D, Since our concern in this chapter is to develop a practical procedure for the approximate calculation of eigenvalues and eigenvectors of (4. 1) we assume, for the sake of simplicity, that the operators T, S, and C satisfy rather strong conditions. However, later we w...ill indicate how these conditions may be some- what relaxed. As a matter of fact, most of the results in the first few sections are also valid when T and C are only K-p. Furthermore, it will always be assumed in this chapter that the eigenvalue problem (4. 1) possesses eigenvalues with corresponding eigenvectors which have the properties used below. If neces- sary, this can always be attained by making recourse to Chapter 2, - 59 - M (Cu, Ku)
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