(PDF) On the Norms of &Lt;i>r-Toeplitz

On the Norms of &Lt;i>r-Toeplitz Matrices Involving Fibonacci and Lucas Numbers

Advances in Linear Algebra & Matrix Theory

doi 10.4236/alamt.2016.62005

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Date

January 1, 2016

Authors

Hasan Gökbaş

Ramazan Türkmen

Publisher

Scientific Research Publishing, Inc.

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On the Norms of &Lt;i>r</I>-Toeplitz Matrices Involving Fibonacci and Lucas Numbers

Advances in Linear Algebra & Matrix Theory

doi 10.4236/alamt.2016.62005

Full Text

Abstract

Date

Authors

Publisher

Related search

The Generalized &Lt;i>r</I>-Whitney Numbers

Bringing Back the Body Into Positive Psychology: The Theory of &Lt;i>Corporeal</I> &Lt;i>Posttraumatic</I> &Lt;i>Growth</I> &Lt;i>in</I> &Lt;i>Breast</I> &Lt;i>Cancer</I> &Lt;i>Survivorship</I>

Solutions of the Exponential Equation &Lt;i>y</I><sup><i>x/Y</I></Sup> = &Lt;i>x</I> Or Ln<i>x</I>/&Lt;i>x</I> = Ln<i>y</I>/&Lt;i>y</I> And Fine Structure Constant

&Lt;i>In Vitro</I> Antagonistic Activity of &Lt;i>Trichoderma Harzianum</I> And &Lt;i>Bacillus Amyloliquefaciens</I> Against &Lt;i>Colletotrichum Acutatum</I>

Regular Elements and Right Units of Semigroup &Lt;i>B<sub>x</Sub></I>(<i>D</I>) Defined Semilattice &Lt;i>D</I> For Which &Lt;i>V</I>(<i>D</I>,а)=Q ∈ &Amp;sum;<sub>3</Sub>(<i>X</I>,8)

Identification of &Lt;i>ebs1</I>, &Lt;i>lsm6</I> And &Lt;i>nup159</I> As Suppressors of &Lt;i>spt</I>10 Effects at &Lt;i>ADH</I>2 in &Lt;i>Saccharomyces Cerevisiae</I> Suggests Post-Transcriptional Defects Affect mRNA Synthesis

The Discriminance for &Lt;i>FLDcirc<sub>r</Sub></I> Matrices and the Fast Algorithm of Their Inverse and Generalized Inverse

Characterization of Six Categories of Systematic 2<sup><i>n</I>－(<i>n</I>－<i>k</I>)</Sup> Fractional Factorial Designs

&Lt;i>Pink1 &Lt;/I>and &Lt;i>parkin</I> Demonstrate Multifaceted Roles When Co-Expressed With &Lt;i>Foxo</I>

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On the Norms of &Lt;i&gt;r&lt;/I&gt;-Toeplitz Matrices Involving Fibonacci and Lucas Numbers

Advances in Linear Algebra &amp; Matrix Theory

doi 10.4236/alamt.2016.62005

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Solutions of the Exponential Equation &Lt;i&gt;y&lt;/I&gt;&lt;sup&gt;&lt;i&gt;x/Y&lt;/I&gt;&lt;/Sup&gt; = &Lt;i&gt;x&lt;/I&gt; Or Ln&lt;i&gt;x&lt;/I&gt;/&Lt;i&gt;x&lt;/I&gt; = Ln&lt;i&gt;y&lt;/I&gt;/&Lt;i&gt;y&lt;/I&gt; And Fine Structure Constant

&Lt;i&gt;In Vitro&lt;/I&gt; Antagonistic Activity of &Lt;i&gt;Trichoderma Harzianum&lt;/I&gt; And &Lt;i&gt;Bacillus Amyloliquefaciens&lt;/I&gt; Against &Lt;i&gt;Colletotrichum Acutatum&lt;/I&gt;

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Identification of &Lt;i&gt;ebs1&lt;/I&gt;, &Lt;i&gt;lsm6&lt;/I&gt; And &Lt;i&gt;nup159&lt;/I&gt; As Suppressors of &Lt;i&gt;spt&lt;/I&gt;10 Effects at &Lt;i&gt;ADH&lt;/I&gt;2 in &Lt;i&gt;Saccharomyces Cerevisiae&lt;/I&gt; Suggests Post-Transcriptional Defects Affect mRNA Synthesis

The Discriminance for &Lt;i&gt;FLDcirc&lt;sub&gt;r&lt;/Sub&gt;&lt;/I&gt; Matrices and the Fast Algorithm of Their Inverse and Generalized Inverse

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&Lt;i&gt;Pink1 &Lt;/I&gt;and &Lt;i&gt;parkin&lt;/I&gt; Demonstrate Multifaceted Roles When Co-Expressed With &Lt;i&gt;Foxo&lt;/I&gt;

On the Norms of &Lt;i>r</I>-Toeplitz Matrices Involving Fibonacci and Lucas Numbers

Advances in Linear Algebra & Matrix Theory

The Generalized &Lt;i>r</I>-Whitney Numbers

Bringing Back the Body Into Positive Psychology: The Theory of &Lt;i>Corporeal</I> &Lt;i>Posttraumatic</I> &Lt;i>Growth</I> &Lt;i>in</I> &Lt;i>Breast</I> &Lt;i>Cancer</I> &Lt;i>Survivorship</I>

Solutions of the Exponential Equation &Lt;i>y</I><sup><i>x/Y</I></Sup> = &Lt;i>x</I> Or Ln<i>x</I>/&Lt;i>x</I> = Ln<i>y</I>/&Lt;i>y</I> And Fine Structure Constant

&Lt;i>In Vitro</I> Antagonistic Activity of &Lt;i>Trichoderma Harzianum</I> And &Lt;i>Bacillus Amyloliquefaciens</I> Against &Lt;i>Colletotrichum Acutatum</I>

Regular Elements and Right Units of Semigroup &Lt;i>B<sub>x</Sub></I>(<i>D</I>) Defined Semilattice &Lt;i>D</I> For Which &Lt;i>V</I>(<i>D</I>,а)=Q ∈ &Amp;sum;<sub>3</Sub>(<i>X</I>,8)

Identification of &Lt;i>ebs1</I>, &Lt;i>lsm6</I> And &Lt;i>nup159</I> As Suppressors of &Lt;i>spt</I>10 Effects at &Lt;i>ADH</I>2 in &Lt;i>Saccharomyces Cerevisiae</I> Suggests Post-Transcriptional Defects Affect mRNA Synthesis

The Discriminance for &Lt;i>FLDcirc<sub>r</Sub></I> Matrices and the Fast Algorithm of Their Inverse and Generalized Inverse

Characterization of Six Categories of Systematic 2<sup><i>n</I>－(<i>n</I>－<i>k</I>)</Sup> Fractional Factorial Designs

&Lt;i>Pink1 &Lt;/I>and &Lt;i>parkin</I> Demonstrate Multifaceted Roles When Co-Expressed With &Lt;i>Foxo</I>