Various 3 × 3 nonnegative matrices with prescribed eigenvalues and diagonal entries

In this paper, we answer the various forms of nonnegative inverse eigenvalue problems with prescribed diagonal entries for order three: real or complex general matrices, symmetric stochastic matrices, and real or complex doubly stochastic matrices. We include the known cases, the symmetric matrices...

Full description

Saved in:
Bibliographic Details
Published in:Linear algebra and its applications 2018-10, Vol.554, p.15-48
Main Authors: Hwang, Jin Ok, Kim, Donggyun
Format: Article
Language:English
Subjects:
Doubly stochastic matrices
Eigenvalues
Linear algebra
Mathematical analysis
Matrix
Matrix methods
Nonnegative inverse eigenvalue problems
Nonnegative matrices
Stochastic matrices
Stochastic models
Symmetric matrices
Symmetric stochastic matrices
Symmetry
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites cdi_FETCH-LOGICAL-c192t-2476c8e7b6e1c9d0d0bf7cb852ab329c76a9cc51eba0fac24308816fe93df8683
container_end_page 48
container_issue
container_start_page 15
container_title Linear algebra and its applications
container_volume 554
creator Hwang, Jin Ok
Kim, Donggyun
description In this paper, we answer the various forms of nonnegative inverse eigenvalue problems with prescribed diagonal entries for order three: real or complex general matrices, symmetric stochastic matrices, and real or complex doubly stochastic matrices. We include the known cases, the symmetric matrices and real or complex stochastic matrices, to compare the other results and for completeness. In addition, for a given list of eigenvalues, we compute the exact range for the largest value of the diagonal entries of the various nonnegative matrices.
doi_str_mv 10.1016/j.laa.2018.05.002
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2114201403</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0024379518302337</els_id><sourcerecordid>2114201403</sourcerecordid><originalsourceid>FETCH-LOGICAL-c192t-2476c8e7b6e1c9d0d0bf7cb852ab329c76a9cc51eba0fac24308816fe93df8683</originalsourceid><addsrcrecordid>eNp9kEtOwzAQhi0EEqVwAHaWWCeM7TwcsUIVL6kSG0DsLMeZFEepU-y0iB234BgcgptwElyVNZsZaWa-0a-PkFMGKQNWnHdpr3XKgckU8hSA75EJk6VImMyLfTKJkywRZZUfkqMQOgDISuAT8vykvR3WgYqfj6_vz1gEdYNzuNCj3SBd6tFbg4G-2fGFrjwG422NDUW7QLfR_TrutGtoY_VicLqn6CKB4ZgctLoPePLXp-Tx-uphdpvM72_uZpfzxLCKjwnPysJILOsCmakaaKBuS1PLnOta8MqUha6MyRnWGlpteCZASla0WImmlYUUU3K2-7vyw2sMM6puWPsYJCjOWBaNZCDiFdtdGT-E4LFVK2-X2r8rBmorUHUqClRbgQpyFXVF5mLHYIy_sehVMBadwcZ6NKNqBvsP_QtfVXv2</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2114201403</pqid></control><display><type>article</type><title>Various 3 × 3 nonnegative matrices with prescribed eigenvalues and diagonal entries</title><source>ScienceDirect Journals</source><creator>Hwang, Jin Ok ; Kim, Donggyun</creator><creatorcontrib>Hwang, Jin Ok ; Kim, Donggyun</creatorcontrib><description>In this paper, we answer the various forms of nonnegative inverse eigenvalue problems with prescribed diagonal entries for order three: real or complex general matrices, symmetric stochastic matrices, and real or complex doubly stochastic matrices. We include the known cases, the symmetric matrices and real or complex stochastic matrices, to compare the other results and for completeness. In addition, for a given list of eigenvalues, we compute the exact range for the largest value of the diagonal entries of the various nonnegative matrices.</description><identifier>ISSN: 0024-3795</identifier><identifier>EISSN: 1873-1856</identifier><identifier>DOI: 10.1016/j.laa.2018.05.002</identifier><language>eng</language><publisher>Amsterdam: Elsevier Inc</publisher><subject>Doubly stochastic matrices ; Eigenvalues ; Linear algebra ; Mathematical analysis ; Matrix ; Matrix methods ; Nonnegative inverse eigenvalue problems ; Nonnegative matrices ; Stochastic matrices ; Stochastic models ; Symmetric matrices ; Symmetric stochastic matrices ; Symmetry</subject><ispartof>Linear algebra and its applications, 2018-10, Vol.554, p.15-48</ispartof><rights>2018 Elsevier Inc.</rights><rights>Copyright American Elsevier Company, Inc. Oct 1, 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c192t-2476c8e7b6e1c9d0d0bf7cb852ab329c76a9cc51eba0fac24308816fe93df8683</cites><orcidid>0000-0002-8072-8071</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Hwang, Jin Ok</creatorcontrib><creatorcontrib>Kim, Donggyun</creatorcontrib><title>Various 3 × 3 nonnegative matrices with prescribed eigenvalues and diagonal entries</title><title>Linear algebra and its applications</title><description>In this paper, we answer the various forms of nonnegative inverse eigenvalue problems with prescribed diagonal entries for order three: real or complex general matrices, symmetric stochastic matrices, and real or complex doubly stochastic matrices. We include the known cases, the symmetric matrices and real or complex stochastic matrices, to compare the other results and for completeness. In addition, for a given list of eigenvalues, we compute the exact range for the largest value of the diagonal entries of the various nonnegative matrices.</description><subject>Doubly stochastic matrices</subject><subject>Eigenvalues</subject><subject>Linear algebra</subject><subject>Mathematical analysis</subject><subject>Matrix</subject><subject>Matrix methods</subject><subject>Nonnegative inverse eigenvalue problems</subject><subject>Nonnegative matrices</subject><subject>Stochastic matrices</subject><subject>Stochastic models</subject><subject>Symmetric matrices</subject><subject>Symmetric stochastic matrices</subject><subject>Symmetry</subject><issn>0024-3795</issn><issn>1873-1856</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp9kEtOwzAQhi0EEqVwAHaWWCeM7TwcsUIVL6kSG0DsLMeZFEepU-y0iB234BgcgptwElyVNZsZaWa-0a-PkFMGKQNWnHdpr3XKgckU8hSA75EJk6VImMyLfTKJkywRZZUfkqMQOgDISuAT8vykvR3WgYqfj6_vz1gEdYNzuNCj3SBd6tFbg4G-2fGFrjwG422NDUW7QLfR_TrutGtoY_VicLqn6CKB4ZgctLoPePLXp-Tx-uphdpvM72_uZpfzxLCKjwnPysJILOsCmakaaKBuS1PLnOta8MqUha6MyRnWGlpteCZASla0WImmlYUUU3K2-7vyw2sMM6puWPsYJCjOWBaNZCDiFdtdGT-E4LFVK2-X2r8rBmorUHUqClRbgQpyFXVF5mLHYIy_sehVMBadwcZ6NKNqBvsP_QtfVXv2</recordid><startdate>20181001</startdate><enddate>20181001</enddate><creator>Hwang, Jin Ok</creator><creator>Kim, Donggyun</creator><general>Elsevier Inc</general><general>American Elsevier Company, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0002-8072-8071</orcidid></search><sort><creationdate>20181001</creationdate><title>Various 3 × 3 nonnegative matrices with prescribed eigenvalues and diagonal entries</title><author>Hwang, Jin Ok ; Kim, Donggyun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c192t-2476c8e7b6e1c9d0d0bf7cb852ab329c76a9cc51eba0fac24308816fe93df8683</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Doubly stochastic matrices</topic><topic>Eigenvalues</topic><topic>Linear algebra</topic><topic>Mathematical analysis</topic><topic>Matrix</topic><topic>Matrix methods</topic><topic>Nonnegative inverse eigenvalue problems</topic><topic>Nonnegative matrices</topic><topic>Stochastic matrices</topic><topic>Stochastic models</topic><topic>Symmetric matrices</topic><topic>Symmetric stochastic matrices</topic><topic>Symmetry</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hwang, Jin Ok</creatorcontrib><creatorcontrib>Kim, Donggyun</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts – Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Linear algebra and its applications</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hwang, Jin Ok</au><au>Kim, Donggyun</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Various 3 × 3 nonnegative matrices with prescribed eigenvalues and diagonal entries</atitle><jtitle>Linear algebra and its applications</jtitle><date>2018-10-01</date><risdate>2018</risdate><volume>554</volume><spage>15</spage><epage>48</epage><pages>15-48</pages><issn>0024-3795</issn><eissn>1873-1856</eissn><abstract>In this paper, we answer the various forms of nonnegative inverse eigenvalue problems with prescribed diagonal entries for order three: real or complex general matrices, symmetric stochastic matrices, and real or complex doubly stochastic matrices. We include the known cases, the symmetric matrices and real or complex stochastic matrices, to compare the other results and for completeness. In addition, for a given list of eigenvalues, we compute the exact range for the largest value of the diagonal entries of the various nonnegative matrices.</abstract><cop>Amsterdam</cop><pub>Elsevier Inc</pub><doi>10.1016/j.laa.2018.05.002</doi><tpages>34</tpages><orcidid>https://orcid.org/0000-0002-8072-8071</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 0024-3795
ispartof Linear algebra and its applications, 2018-10, Vol.554, p.15-48
issn 0024-3795
1873-1856
language eng
recordid cdi_proquest_journals_2114201403
source ScienceDirect Journals
subjects Doubly stochastic matrices
Eigenvalues
Linear algebra
Mathematical analysis
Matrix
Matrix methods
Nonnegative inverse eigenvalue problems
Nonnegative matrices
Stochastic matrices
Stochastic models
Symmetric matrices
Symmetric stochastic matrices
Symmetry
title Various 3 × 3 nonnegative matrices with prescribed eigenvalues and diagonal entries
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-29T16%3A46%3A03IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Various%203%E2%80%AF%C3%97%E2%80%AF3%20nonnegative%20matrices%20with%20prescribed%20eigenvalues%20and%20diagonal%20entries&rft.jtitle=Linear%20algebra%20and%20its%20applications&rft.au=Hwang,%20Jin%20Ok&rft.date=2018-10-01&rft.volume=554&rft.spage=15&rft.epage=48&rft.pages=15-48&rft.issn=0024-3795&rft.eissn=1873-1856&rft_id=info:doi/10.1016/j.laa.2018.05.002&rft_dat=%3Cproquest_cross%3E2114201403%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c192t-2476c8e7b6e1c9d0d0bf7cb852ab329c76a9cc51eba0fac24308816fe93df8683%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2114201403&rft_id=info:pmid/&rfr_iscdi=true