Open Collections

BIRS Workshop Lecture Videos

Banff International Research Station Logo
Featured Collection

BIRS Workshop Lecture Videos

An upper bound on the smallest singular value of a square random matrix Tatarko, Kateryna Mar 27, 2018

Item Metadata

Title An upper bound on the smallest singular value of a square random matrix
Creator Tatarko, Kateryna
Publisher Banff International Research Station for Mathematical Innovation and Discovery
Date Issued 2018-03-27T14:33
Description Let $A = (a_{ij})$ be a square $n\times n$ matrix with i.i.d. zero mean and unit variance entries. In a paper by Rudelson and Vershynin it was shown that the upper bound for a smallest singular value $s_n(A)$ is of order $n^{-\frac12}$ with probability close to one under additional assumption on entries of $A$ that $\mathbb{E}a^4_{ij} < \infty$. We remove the assumption on the fourth moment and show the upper bound assuming only $\mathbb{E}a^2_{ij} = 1.$
Extent 26 minutes
Subject Mathematics
Functional analysis
Convex and discrete geometry
Geographic Location Banff (Alta.)
Type Moving Image
FileFormat video/mp4
Language eng
Notes Author affiliation: University of Alberta
Series BIRS Workshop Lecture Videos (Banff, Alta)
Date Available 2018-09-24
Provider Vancouver : University of British Columbia Library
Rights Attribution-NonCommercial-NoDerivatives 4.0 International
DOI 10.14288/1.0372142
URI http://hdl.handle.net/2429/67237
Affiliation Non UBC
Peer Review Status Unreviewed
Scholarly Level Graduate
Rights URI http://creativecommons.org/licenses/by-nc-nd/4.0/
AggregatedSourceRepository DSpace

Download

Media
48630-201803271433-Tatarko_lrv.mp4 [ 118.17MB ]
Metadata
JSON: 48630-1.0372142.json
JSON-LD: 48630-1.0372142-ld.json
RDF/XML (Pretty): 48630-1.0372142-rdf.xml
RDF/JSON: 48630-1.0372142-rdf.json
Turtle: 48630-1.0372142-turtle.txt
N-Triples: 48630-1.0372142-rdf-ntriples.txt
Original Record: 48630-1.0372142-source.json
Citation
48630-1.0372142.ris

Cite

Citation Scheme: 

        
Citations by CSL (citeproc-js)

    



            
            

    

        
        
        Usage Statistics
    


    

        
            



            
            

    

        
                
        Share
    


    


        

            

            

              Share link (DOI):  
                          

            

              
            

        

    





            
            

    

        
        
        Embed
    


    

        

            
            Customize your widget with the following options, then copy and paste the code below into the HTML
            of your page to embed this item in your website.

            

                
                
            

                    
                        
                            <div id="ubcOpenCollectionsWidgetDisplay">
                            <script id="ubcOpenCollectionsWidget"
                            src="{[{embed.src}]}"
                            data-item="{[{embed.item}]}"
                            data-collection="{[{embed.collection}]}"
                            data-metadata="{[{embed.showMetadata}]}"
                            data-width="{[{embed.width}]}"
                            data-media="{[{embed.selectedMedia}]}"
                            async >
                            </script>
                            </div>
                        
                    

        

        

            IIIF logo Our image viewer uses the IIIF 2.0 standard.
            To load this item in other compatible viewers, use this url: 
https://iiif.library.ubc.ca/presentation/dsp.48630.1-0372142/manifest

        

    



            
            

    

        
        
        Comment
    


    

        

        
    



            
            

    

        
        
        Related Items