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

Table 2

Numerical results for Example 2.

𝐜^0		𝛽=1.5	𝛽=1.8	𝛽=2.0
(a)	errs	8.2730𝑒−03	8.2730𝑒−03	8.2730𝑒−03
		2.2866𝑒−05	2.2866𝑒−05	2.2866𝑒−05
		5.5845𝑒−11	5.5845𝑒−11	5.5845𝑒−11
	ite.	6	6	6
	𝐜^∗	(2,3,4,5,6,7,8)^⊤
(b)	errs	8.2129𝑒−03	4.0190𝑒−03	1.7235𝑒−04
		2.0027𝑒−05	1.5988𝑒−06	3.7839𝑒−09
		5.0828𝑒−11	2.8276𝑒−13	1.9386𝑒−14
	ite.	7	7	7
	𝐜^∗	(2.8703,2.0639,4.9434,4.1053,6.7530,6.3287,8.4794)^⊤
(c)	errs	3.4941𝑒−03	3.4941𝑒−03	3.4941𝑒−03
		2.5608𝑒−06	2.5608𝑒−06	2.5608𝑒−06
		6.7550𝑒−13	6.7550𝑒−13	6.7550𝑒−13
	ite.	11	11	11
	𝐜^∗	(2.8703,2.0639,4.9434,4.1053,6.7530,6.3287,8.4794)^⊤
(d)	errs	2.9914𝑒−04	2.9914𝑒−04	2.9914𝑒−04
		8.2616𝑒−09	8.2616𝑒−09	8.2616𝑒−09
		1.8946𝑒−14	1.8946𝑒−14	1.8946𝑒−14
	ite.	13	13	13
	𝐜^∗	(1.1787,−0.0035,2.0401,1.6976,5.3794,6.2068,8.5273)^⊤
(e)	errs	2.1008𝑒−04	2.1008𝑒−04	2.1008𝑒−04
		1.5703𝑒−08	1.5703𝑒−08	1.5703𝑒−08
		2.2331𝑒−14	2.2331𝑒−14	2.2331𝑒−14
	ite.	13	13	13
	𝐜^∗	(2.8703,2.0639,4.9434,4.1053,6.7530,6.3287,8.4794)^⊤