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<p class="MsoNormal" style="margin-bottom:8.0pt;line-height:105%"><span style="font-size:10.0pt;line-height:105%;font-family:"Arial",sans-serif">Announcing the July 11, 2016, publication by SIAM of:<o:p></o:p></span></p>
<p class="MsoNormal"><b><span style="font-family:"Arial",sans-serif">Minimum-Volume Ellipsoids: Theory and Algorithms<o:p></o:p></span></b></p>
<p class="MsoNormal"><span style="font-family:"Arial",sans-serif">Michael J. Todd<o:p></o:p></span></p>
<p class="MsoNormal"><i><span style="font-family:"Arial",sans-serif">MOS-SIAM Series on Optimization 23<o:p></o:p></span></i></p>
<p class="MsoNormal"><i><span style="font-family:"Arial",sans-serif"><o:p> </o:p></span></i></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:"Arial",sans-serif">This book, the first on these topics, addresses the problem of finding an ellipsoid to represent a large set of points in high-dimensional space, which has applications in computational
geometry, data representations, and optimal design in statistics. The book covers the formulation of this and related problems, theoretical properties of their optimal solutions, and algorithms for their solution. Due to the high dimensionality of these problems,
first-order methods that require minimal computational work at each iteration are attractive. While algorithms of this kind have been discovered and rediscovered over the past fifty years, their computational complexities and convergence rates have only recently
been investigated. The optimization problems in the book have the entries of a symmetric matrix as their variables, so the author’s treatment also gives an introduction to recent work in matrix optimization.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:"Arial",sans-serif"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:"Arial",sans-serif">This book provides historical perspective on the problems studied by optimizers, statisticians, and geometric functional analysts; demonstrates the huge computational savings
possible by exploiting simple updates for the determinant and the inverse after a rank-one update, and highlights the difficulties in algorithms when related problems are studied that do not allow simple updates at each iteration; and gives rigorous analyses
of the proposed algorithms, MATLAB codes, and computational results.<o:p></o:p></span></p>
<p class="MsoNormal"><b><span style="font-size:10.0pt;font-family:"Arial",sans-serif"><o:p> </o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size:10.0pt;font-family:"Arial",sans-serif">Audience</span></b><span style="font-size:10.0pt;font-family:"Arial",sans-serif"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:"Arial",sans-serif">This book will be of interest to graduate students and researchers in operations research, theoretical statistics, data mining, complexity theory, computational geometry, and
computational science.<o:p></o:p></span></p>
<p class="MsoNormal"><b><span style="font-size:10.0pt;font-family:"Arial",sans-serif"><o:p> </o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size:10.0pt;font-family:"Arial",sans-serif">About the Author<o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size:10.0pt;font-family:"Arial",sans-serif">Michael J. Todd
</span></b><span style="font-size:10.0pt;font-family:"Arial",sans-serif">is Leon C. Welch Professor Emeritus of the School of Operations Research and Information Engineering, Cornell University. He received a Guggenheim Fellowship, 1980–1981; a Sloan Research
Fellowship, 1981–1985; the George B. Dantzig Prize, 1988; and the John von Neumann Theory Prize, 2003. He is an INFORMS Fellow and a SIAM Fellow. He has served on the editorial boards of
<i>Mathematics of Operations Research</i>, <i>Operations Research</i>, and <i>SIAM Journal on Optimization</i>. He was Managing Editor of
<i>Foundations of Computational Mathematics</i> and served on the boards of <i>Acta Numerica</i> and
<i>Foundations and Trends in Optimization</i>. He is the author of one and co-editor of five previous books.<b><o:p></o:p></b></span></p>
<p class="MsoNormal"><b><span style="font-size:10.0pt;font-family:"Arial",sans-serif"><o:p> </o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size:10.0pt;font-family:"Arial",sans-serif;color:black">Contents<o:p></o:p></span></b></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:"Arial",sans-serif;color:black">Chapter 1: Introduction; Chapter 2: Minimum-Volume Ellipsoids; Chapter 3: Algorithms for the MVEE Problem; Chapter 4: Minimum-Area Ellipsoidal Cylinders; Chapter
5: Algorithms for the MAEC Problem; Chapter 6: Related Problems and Algorithms; Appendix A: Background Material; Appendix B: MATLAB Codes<b><o:p></o:p></b></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:"Arial",sans-serif"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:"Arial",sans-serif">2016 / xiv + 149 pages / Softcover / 978-1-611974-37-9<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:"Arial",sans-serif">List Price $69.00 / MOS-SIAM Member Price $48.30 / MO23<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:"Arial",sans-serif"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:"Arial",sans-serif">To order or for more about this book, including links to its Table of Contents, Preface, and Index, please visit
<a href="http://bookstore.siam.org/MO23/">http://bookstore.siam.org/MO23/</a>.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:"Arial",sans-serif"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:"Arial",sans-serif">For more information about SIAM books, journals, conferences, memberships, or activities, contact:<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:"Arial",sans-serif"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:"Arial",sans-serif">SIAM<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:10.0pt;font-family:"Arial",sans-serif">Society for Industrial and Applied Mathematics
<o:p></o:p></span></p>
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