The Eigenspace Spectral Regularization Method for Solving Discrete Ill-Posed Systems

Table 1

The comparison of ESRM and GLSM, QRFM, SVDM, and CDM for regularizing ill-posed discrete equations.

(a)

Matrix	ESRM	GLSM	QRFM	SVDM	CDM
	It regularizes	Fail to regularize	Fail to regularize	Fail to regularize	Fail to regularize
	It regularizes	Fail to regularize	Fail to regularize	Fail to regularize	Fail to regularize
	It regularizes	Fail to regularize	Fail to regularize	Fail to regularize	Fail to regularize
	It regularizes	Fail to regularize	Fail to regularize	Fail to regularize	Fail to regularize

(b)

Matrix	ESRM	GLSM	QRFM	SVDM	CDM
	It regularizes	Fail to regularize	Fail to regularize	Fail to regularize	Fail to regularize
	It regularizes	Fail to regularize	Fail to regularize	Fail to regularize	Fail to regularize
	It regularizes	Fail to regularize	Fail to regularize	Fail to regularize	Fail to regularize
	It regularizes	Fail to regularize	Fail to regularize	Fail to regularize	Fail to regularize

(c)

Matrix	ESRM	GLSM	QRFM	SVDM	CDM
	It regularizes	Fail to regularize	Fail to regularize	Fail to regularize	Fail to regularize
	It regularizes	Fail to regularize	Fail to regularize	Fail to regularize	Fail to regularize
	It regularizes	Fail to regularize	Fail to regularize	Fail to regularize	Fail to regularize