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

Table 1

Numerical results for Example 1.

𝐜^0		𝛽=1.5	𝛽=1.8	𝛽=2.0
(a)	errs	1.0659𝑒−02	1.0659𝑒−02	1.0659𝑒−02
		1.1323𝑒−05	1.1323𝑒−05	1.1323𝑒−05
		8.0567𝑒−12	8.0567𝑒−12	8.0567𝑒−12
	ite.	6	6	6
	𝐜^∗	(2.0000,3.2926,3.4471,4.9014,6.5529)^⊤
(b)	errs	3.8846𝑒−03	3.8846𝑒−03	3.8846𝑒−03
		1.2491𝑒−06	1.2491𝑒−06	1.2491𝑒−06
		7.9990𝑒−14	7.9990𝑒−14	7.9990𝑒−14
	ite.	9	9	9
	𝐜^∗	(2,3,4,5,6)^⊤
(c)	errs	5.0389𝑒−05	5.0389𝑒−05	5.0389𝑒−05
		3.5838𝑒−10	3.5838𝑒−10	3.5838𝑒−10
		5.0337𝑒−15	5.0337𝑒−15	5.0337𝑒−15
	ite.	13	13	13
	𝐜^∗	(2.0000,3.2926,3.4471,4.9014,6.5529)^⊤
(d)	errs	1.3806𝑒−04	1.3806𝑒−04	1.3806𝑒−04
		6.4118𝑒−09	6.4118𝑒−09	6.4118𝑒−09
		9.8493𝑒−15	9.8493𝑒−15	9.8493𝑒−15
	ite.	75	75	75
	𝐜^∗	(2.0000,3.2926,3.4471,4.9014,6.5529)^⊤
(e)	errs	1.2028𝑒−04	7.7624𝑒−03	7.7624𝑒−03
		3.8608𝑒−10	6.1243𝑒−06	6.1243𝑒−06
		5.3680𝑒−15	2.1634𝑒−12	2.1634𝑒−12
	ite.	13	5	5
	𝐜^∗	(2,3,4,5,6)^⊤