Search results for: Fuping Tan

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class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="Fuping Tan"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 9</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: Fuping Tan</h1> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">9</span> Some New Subclasses of Nonsingular H-matrices</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Guangbin%20Wang">Guangbin Wang</a>, <a href="https://publications.waset.org/search?q=Liangliang%20Li"> Liangliang Li</a>, <a href="https://publications.waset.org/search?q=Fuping%20Tan"> Fuping Tan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we obtain some new subclasses of non¬singular H-matrices by using a diagonally dominant matrix</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=H-matrix" title="H-matrix">H-matrix</a>, <a href="https://publications.waset.org/search?q=diagonal%20dominance" title=" diagonal dominance"> diagonal dominance</a>, <a href="https://publications.waset.org/search?q=a%20diagonally%20dominant%20matrix." title=" a diagonally dominant matrix."> a diagonally dominant matrix.</a> </p> <a href="https://publications.waset.org/689/some-new-subclasses-of-nonsingular-h-matrices" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/689/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/689/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/689/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/689/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/689/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/689/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/689/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/689/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/689/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/689/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/689.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1037</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">8</span> Some Results on Parallel Alternating Methods</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Guangbin%20Wang">Guangbin Wang</a>, <a href="https://publications.waset.org/search?q=Fuping%20Tan"> Fuping Tan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we investigate two parallel alternating methods for solving the system of linear equations Ax = b and give convergence theorems for the parallel alternating methods when the coefficient matrix is a nonsingular H-matrix. Furthermore, we give one example to show our results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Nonsingular%20H-matrix" title="Nonsingular H-matrix">Nonsingular H-matrix</a>, <a href="https://publications.waset.org/search?q=parallel%20alternating%20method" title=" parallel alternating method"> parallel alternating method</a>, <a href="https://publications.waset.org/search?q=convergence." title=" convergence."> convergence.</a> </p> <a href="https://publications.waset.org/2676/some-results-on-parallel-alternating-methods" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/2676/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/2676/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/2676/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/2676/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/2676/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/2676/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/2676/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/2676/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/2676/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/2676/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/2676.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1103</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">7</span> A New Preconditioned AOR Method for Z-matrices</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Guangbin%20Wang">Guangbin Wang</a>, <a href="https://publications.waset.org/search?q=Ning%20Zhang"> Ning Zhang</a>, <a href="https://publications.waset.org/search?q=Fuping%20Tan"> Fuping Tan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we present a preconditioned AOR-type iterative method for solving the linear systems Ax = b, where A is a Z-matrix. And give some comparison theorems to show that the rate of convergence of the preconditioned AOR-type iterative method is faster than the rate of convergence of the AOR-type iterative method.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Z-matrix" title="Z-matrix">Z-matrix</a>, <a href="https://publications.waset.org/search?q=AOR-type%20iterative%20method" title=" AOR-type iterative method"> AOR-type iterative method</a>, <a href="https://publications.waset.org/search?q=precondition" title=" precondition"> precondition</a>, <a href="https://publications.waset.org/search?q=comparison." title=" comparison."> comparison.</a> </p> <a href="https://publications.waset.org/6940/a-new-preconditioned-aor-method-for-z-matrices" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/6940/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/6940/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/6940/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/6940/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/6940/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/6940/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/6940/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/6940/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/6940/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/6940/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/6940.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1554</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">6</span> Some New Upper Bounds for the Spectral Radius of Iterative Matrices</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Guangbin%20Wang">Guangbin Wang</a>, <a href="https://publications.waset.org/search?q=Xue%20Li"> Xue Li</a>, <a href="https://publications.waset.org/search?q=Fuping%20Tan"> Fuping Tan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we present some new upper bounds for the spectral radius of iterative matrices based on the concept of doubly 伪 diagonally dominant matrix. And subsequently, we give two examples to show that our results are better than the earlier ones. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=doubly%20%CE%B1%20diagonally%20dominant%20matrix" title="doubly 伪 diagonally dominant matrix">doubly 伪 diagonally dominant matrix</a>, <a href="https://publications.waset.org/search?q=eigenvalue" title=" eigenvalue"> eigenvalue</a>, <a href="https://publications.waset.org/search?q=iterative%20matrix" title="iterative matrix">iterative matrix</a>, <a href="https://publications.waset.org/search?q=spectral%20radius" title=" spectral radius"> spectral radius</a>, <a href="https://publications.waset.org/search?q=upper%20bound." title=" upper bound."> upper bound.</a> </p> <a href="https://publications.waset.org/15739/some-new-upper-bounds-for-the-spectral-radius-of-iterative-matrices" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/15739/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/15739/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/15739/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/15739/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/15739/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/15739/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/15739/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/15739/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/15739/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/15739/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/15739.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1339</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">5</span> Convergence Analysis of the Generalized Alternating Two-Stage Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Guangbin%20Wang">Guangbin Wang</a>, <a href="https://publications.waset.org/search?q=Liangliang%20Li"> Liangliang Li</a>, <a href="https://publications.waset.org/search?q=Fuping%20Tan"> Fuping Tan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we give the generalized alternating twostage method in which the inner iterations are accomplished by a generalized alternating method. And we present convergence results of the method for solving nonsingular linear systems when the coefficient matrix of the linear system is a monotone matrix or an H-matrix.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Generalized%20alternating%20two-stage%20method" title="Generalized alternating two-stage method">Generalized alternating two-stage method</a>, <a href="https://publications.waset.org/search?q=linear%20system" title=" linear system"> linear system</a>, <a href="https://publications.waset.org/search?q=convergence." title=" convergence."> convergence.</a> </p> <a href="https://publications.waset.org/7714/convergence-analysis-of-the-generalized-alternating-two-stage-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/7714/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/7714/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/7714/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/7714/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/7714/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/7714/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/7714/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/7714/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/7714/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/7714/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/7714.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1259</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">4</span> Parallel Alternating Two-stage Methods for Solving Linear System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Guangbin%20Wang">Guangbin Wang</a>, <a href="https://publications.waset.org/search?q=Ning%20Zhang"> Ning Zhang</a>, <a href="https://publications.waset.org/search?q=Fuping%20Tan"> Fuping Tan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we present parallel alternating two-stage methods for solving linear system Ax = b, where A is a monotone matrix or an H-matrix. And we give some convergence results of these methods for nonsingular linear system.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Parallel" title="Parallel">Parallel</a>, <a href="https://publications.waset.org/search?q=alternating%20two-stage" title=" alternating two-stage"> alternating two-stage</a>, <a href="https://publications.waset.org/search?q=convergence" title=" convergence"> convergence</a>, <a href="https://publications.waset.org/search?q=linear%20system." title=" linear system."> linear system.</a> </p> <a href="https://publications.waset.org/2526/parallel-alternating-two-stage-methods-for-solving-linear-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/2526/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/2526/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/2526/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/2526/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/2526/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/2526/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/2526/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/2526/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/2526/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/2526/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/2526.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1146</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">3</span> Some Results on Preconditioned Modified Accelerated Overrelaxation Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Guangbin%20Wang">Guangbin Wang</a>, <a href="https://publications.waset.org/search?q=Deyu%20Sun"> Deyu Sun</a>, <a href="https://publications.waset.org/search?q=Fuping%20Tan"> Fuping Tan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we present new preconditioned modified accelerated overrelaxation (MAOR) method for solving linear systems. We compare the spectral radii of the iteration matrices of the preconditioned and the original methods. The comparison results show that the preconditioned MAOR method converges faster than the MAOR method whenever the MAOR method is convergent. Finally, we give one numerical example to confirm our theoretical results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=preconditioned" title="preconditioned">preconditioned</a>, <a href="https://publications.waset.org/search?q=MAOR%20method" title=" MAOR method"> MAOR method</a>, <a href="https://publications.waset.org/search?q=linear%20system" title=" linear system"> linear system</a>, <a href="https://publications.waset.org/search?q=convergence" title=" convergence"> convergence</a>, <a href="https://publications.waset.org/search?q=comparison." title=" comparison. "> comparison. </a> </p> <a href="https://publications.waset.org/9998079/some-results-on-preconditioned-modified-accelerated-overrelaxation-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9998079/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9998079/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9998079/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9998079/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9998079/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9998079/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9998079/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9998079/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9998079/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9998079/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9998079.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1647</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">2</span> Parallel Multisplitting Methods for Singular Linear Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Guangbin%20Wang">Guangbin Wang</a>, <a href="https://publications.waset.org/search?q=Fuping%20Tan"> Fuping Tan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we discuss convergence of the extrapolated iterative methods for linear systems with the coefficient matrices are singular H-matrices. And we present the sufficient and necessary conditions for convergence of the extrapolated iterative methods. Moreover, we apply the results to the GMAOR methods. Finally, we give one numerical example.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Singular%20H-matrix" title="Singular H-matrix">Singular H-matrix</a>, <a href="https://publications.waset.org/search?q=linear%20systems" title=" linear systems"> linear systems</a>, <a href="https://publications.waset.org/search?q=extrapolated%20iterative%20method" title=" extrapolated iterative method"> extrapolated iterative method</a>, <a href="https://publications.waset.org/search?q=GMAOR%20method" title=" GMAOR method"> GMAOR method</a>, <a href="https://publications.waset.org/search?q=convergence." title=" convergence."> convergence.</a> </p> <a href="https://publications.waset.org/5394/parallel-multisplitting-methods-for-singular-linear-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/5394/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/5394/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/5394/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/5394/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/5394/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/5394/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/5394/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/5394/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/5394/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/5394/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/5394.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1351</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1</span> Some Results on New Preconditioned Generalized Mixed-Type Splitting Iterative Methods</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Guangbin%20Wang">Guangbin Wang</a>, <a href="https://publications.waset.org/search?q=Fuping%20Tan"> Fuping Tan</a>, <a href="https://publications.waset.org/search?q=Deyu%20Sun"> Deyu Sun</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, we present new preconditioned generalized mixed-type splitting (GMTS) methods for solving weighted linear least square problems. We compare the spectral radii of the iteration matrices of the preconditioned and the original methods. The comparison results show that the preconditioned GMTS methods converge faster than the GMTS method whenever the GMTS method is convergent. Finally, we give a numerical example to confirm our theoretical results.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Preconditioned" title="Preconditioned">Preconditioned</a>, <a href="https://publications.waset.org/search?q=GMTS%20method" title=" GMTS method"> GMTS method</a>, <a href="https://publications.waset.org/search?q=linear%20system" title=" linear system"> linear system</a>, <a href="https://publications.waset.org/search?q=convergence" title=" convergence"> convergence</a>, <a href="https://publications.waset.org/search?q=comparison." title=" comparison. "> comparison. </a> </p> <a href="https://publications.waset.org/9998057/some-results-on-new-preconditioned-generalized-mixed-type-splitting-iterative-methods" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9998057/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9998057/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9998057/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9998057/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9998057/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9998057/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a 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