ugc approved journal list IJRTI Research Journal
International Journal for Research Trends and Innovation
An International Open Access Journal
Impact Factor: 4.87

Call For Paper

Issue: June 2019

Volume 4 | Issue 6

Impact Factor: 4.87

Submit Paper Online

Click Here For more Details

For Authors

Forms / Download

Editorial Board

Subscribe IJRTI

Facts & Figure

Impact Factor : 4.87

Issue per Year : 12

Volume Published : 4

Issue Published : 37

Article Submitted : 1587

Article Published : 957

Total Authors : 2612

Total Reviewer : 522

Total Pages : 71

Total Countries : 14

Visitor Counter

Indexing Partner

Published Paper Details
Paper Title: Best Generalized inverse of Linear operator in Normed affine space
Authors Name: V. Vijayaselvi , D. Krishnaswamy
Unique Id: IJRTI1809031
Published In: Volume 3 Issue 9, September-2018
Abstract: Let $X$,$Y$ be normed affine space $A(X,Y)$ be a bounded linear operator from $X$ to $Y$ one wants to solve the linear problem $Ax=y$ for $x$ (given $y in Y$). When $A$ is invertible the unique solution is $x=A^{-1}y$. If this is not the case, one seeks an approximate solution of the form $x=By$, where $B$ is an operator from $Y$ to $X$ such $B$ is called generalized inverse of $A$. Given an affine space $E$ of dim n and an affine frame $(a_{0},a_{1}cdots a_{m})$ for $E$. Let $f:E ightarrow E$ and $g:E ightarrow E$ be two affine maps represented by the two $(n+1) imes (n+1)$ matrices $egin{bmatrix} A & b 0 &1 end{bmatrix}$ and $egin{bmatrix} B & c 0 & 1 end{bmatrix}$ with respect to the frame $(a_{0},a_{1}cdots a_{m})$ we also say that $f$ and $g$ represented by $(A,b)$ and $(B,c)$. In this paper we prove that $f$ is invertible if and only if $A$ is invertible and the solution exists in a unique way.
Keywords: Affine space, Linear operator, Affine linear Transformation
Cite Article: "Best Generalized inverse of Linear operator in Normed affine space ", International Journal of Science & Engineering Development Research (, ISSN:2455-2631, Vol.3, Issue 9, page no.193 - 196, September-2018, Available :
Downloads: 000843
Publication Details: Published Paper ID: IJRTI1809031
Registration ID:180480
Published In: Volume 3 Issue 9, September-2018
DOI (Digital Object Identifier):
ISSN Number: 2456 - 3315
Share Article:

Click Here to Download This Article

Article Preview

Major Indexing from
Google Scholar ResearcherID Thomson Reuters Mendeley : reference manager : cornell university library Research Gate CiteSeerX DOAJ : Directory of Open Access Journals
DRJI Index Copernicus International Scribd DocStoc

ISSN Details

DOI (A digital object identifier)

Providing A digital object identifier by DOI
How to GET DOI and Hard Copy Related


Conference Proposal

Latest News / Updates

Open Access License Policy

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License

Creative Commons License This material is Open Knowledge This material is Open Data This material is Open Content

Important Details

Social Media

Untitled Document