All solutions of system of ill-posed operator equations of the first kind

Minggen Cui; Zhong Chen

doi:10.1016/j.amc.2004.04.040

All solutions of system of ill-posed operator equations of the first kind

Minggen Cui^*
, Zhong Chen

^*Corresponding author for this work

School of Science

Harbin Institute of Technology Weihai

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we discuss the structure of the solution space of system of operator equations of the first kind A_iu = f_i, i = 1,2, ..., n in Hilbert spaces. If it has solutions, we give the analytic representation of all its solutions. Final examples show our methods are effective.

Original language	English
Pages (from-to)	749-758
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	165
Issue number	3
DOIs	https://doi.org/10.1016/j.amc.2004.04.040
State	Published - 27 Jun 2005

Keywords

Analytic solutions
Ill-posed operator equation
Reproducing kernel

Access to Document

10.1016/j.amc.2004.04.040

Cite this

@article{4fa4d6e8a10a4d3196554b8695e32b82,

title = "All solutions of system of ill-posed operator equations of the first kind",

abstract = "In this paper, we discuss the structure of the solution space of system of operator equations of the first kind Aiu = fi, i = 1,2, ..., n in Hilbert spaces. If it has solutions, we give the analytic representation of all its solutions. Final examples show our methods are effective.",

keywords = "Analytic solutions, Ill-posed operator equation, Reproducing kernel",

author = "Minggen Cui and Zhong Chen",

year = "2005",

month = jun,

day = "27",

doi = "10.1016/j.amc.2004.04.040",

language = "英语",

volume = "165",

pages = "749--758",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

number = "3",

}

TY - JOUR

T1 - All solutions of system of ill-posed operator equations of the first kind

AU - Cui, Minggen

AU - Chen, Zhong

PY - 2005/6/27

Y1 - 2005/6/27

N2 - In this paper, we discuss the structure of the solution space of system of operator equations of the first kind Aiu = fi, i = 1,2, ..., n in Hilbert spaces. If it has solutions, we give the analytic representation of all its solutions. Final examples show our methods are effective.

AB - In this paper, we discuss the structure of the solution space of system of operator equations of the first kind Aiu = fi, i = 1,2, ..., n in Hilbert spaces. If it has solutions, we give the analytic representation of all its solutions. Final examples show our methods are effective.

KW - Analytic solutions

KW - Ill-posed operator equation

KW - Reproducing kernel

UR - https://www.scopus.com/pages/publications/18144369679

U2 - 10.1016/j.amc.2004.04.040

DO - 10.1016/j.amc.2004.04.040

M3 - 文章

AN - SCOPUS:18144369679

SN - 0096-3003

VL - 165

SP - 749

EP - 758

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 3

ER -

All solutions of system of ill-posed operator equations of the first kind

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this