A Cramer rule for least-norm solutions of consistent linear equations

Adi Ben-Israel

doi:10.1016/0024-3795(82)90255-5

A Cramer rule for least-norm solutions of consistent linear equations

Adi Ben-Israel

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

45 Scopus citations

Abstract

The least (Euclidean-) norm solution of a consistent linear equation Ax = b is given a determinantal form, which reduces to Cramer's rule if A is nonsingular.

Original language	English (US)
Pages (from-to)	223-226
Number of pages	4
Journal	Linear Algebra and Its Applications
Volume	43
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(82)90255-5
State	Published - Mar 1982
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

Access to Document

10.1016/0024-3795(82)90255-5

Cite this

@article{ea05c382ce834fbd81af9eeb7c2b2947,

title = "A Cramer rule for least-norm solutions of consistent linear equations",

abstract = "The least (Euclidean-) norm solution of a consistent linear equation Ax = b is given a determinantal form, which reduces to Cramer's rule if A is nonsingular.",

author = "Adi Ben-Israel",

year = "1982",

month = mar,

doi = "10.1016/0024-3795(82)90255-5",

language = "English (US)",

volume = "43",

pages = "223--226",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier Inc.",

number = "C",

}

TY - JOUR

T1 - A Cramer rule for least-norm solutions of consistent linear equations

AU - Ben-Israel, Adi

PY - 1982/3

Y1 - 1982/3

N2 - The least (Euclidean-) norm solution of a consistent linear equation Ax = b is given a determinantal form, which reduces to Cramer's rule if A is nonsingular.

AB - The least (Euclidean-) norm solution of a consistent linear equation Ax = b is given a determinantal form, which reduces to Cramer's rule if A is nonsingular.

UR - http://www.scopus.com/inward/record.url?scp=0006530807&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0006530807&partnerID=8YFLogxK

U2 - 10.1016/0024-3795(82)90255-5

DO - 10.1016/0024-3795(82)90255-5

M3 - Article

AN - SCOPUS:0006530807

SN - 0024-3795

VL - 43

SP - 223

EP - 226

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - C

ER -

A Cramer rule for least-norm solutions of consistent linear equations

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this