A Globally Convergent Inexact Newton-Like Cayley Transform Method for Inverse Eigenvalue Problems

Table 3

Numerical results for Example 3.

𝐜^0		𝛽=1.5	𝛽=1.8	𝛽=2.0
(a)	errs	5.2594𝑒−03	2.2949𝑒−04	6.3777𝑒−02
		1.5831𝑒−08	2.1853𝑒−10	5.2251𝑒−05
		9.8210𝑒−12	5.3338𝑒−12	1.1737𝑒−11
	ite.	17	17	17
	𝐜^∗	𝐜^∗2	𝐜^∗3	𝐜^∗2
(b)	errs	2.3747𝑒−02	2.4283𝑒−02	5.3326𝑒−02
		6.6052𝑒−07	6.8845𝑒−07	3.5462𝑒−05
		9.2871𝑒−12	7.8077𝑒−12	1.2096𝑒−11
	ite.	13	14	14
	𝐜^∗	𝐜^∗2	𝐜^∗2	𝐜^∗2
(c)	errs	5.0900𝑒−04	5.0902𝑒−04	5.0902𝑒−04
		5.5760𝑒−09	5.5819𝑒−09	5.5827𝑒−09
		1.4600𝑒−11	1.3617𝑒−11	1.7533𝑒−11
	ite.	10	10	10
	𝐜^∗	𝐜^∗1	𝐜^∗1	𝐜^∗1
(d)	errs	1.7014𝑒−02	1.7014𝑒−02	1.7014𝑒−02
		6.9575𝑒−07	6.9575𝑒−07	6.9575𝑒−07
		1.5224𝑒−11	1.7256𝑒−11	6.2077𝑒−11
	ite.	9	9	9
	𝐜^∗	𝐜^∗1	𝐜^∗1	𝐜^∗1