Ideas from several areas of mathematics that have long been disparate are introduced to each other in 11 papers from a conference at the Fields Institute in Ontario (no date noted). The topics include the double bracket equation as the solution of a variational problem, sub-Riemannian optimal control problems, and the number of real roots of a sparse polynomial system. No index. Annotation copyright Book News, Inc. Portland, Or.
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Hardback. Zustand: New. This volume brings together ideas from several areas of mathematics that have traditionally been rather disparate. The conference at The Fields Institute which gave rise to these proceedings was intended to encourage such connections. One of the key interactions occurs between dynamical systems and algorithms, one example being the by now classic observation that the QR algorithm for diagonalizing matrices may be viewed as the time-1 map of the Toda lattice flow.Another link occurs with interior point methods for linear programming, where certain smooth flows associated with such programming problems have proved valuable in the analysis of the corresponding discrete problems. More recently, other smooth flows have been introduced which carry out discrete computations (such as sorting sets of numbers) and which solve certain least squares problems. Another interesting facet of the flows described here is that they often have a dual Hamiltonian and gradient structure, both of which turn out to be useful in analyzing and designing algorithms for solving optimization problems. This volume explores many of these interactions, as well as related work in optimal control and partial differential equations. Bestandsnummer des Verkäufers LU-9780821802557
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Zustand: New. One of the key interactions occurs between dynamical systems and algorithms, one example being the by now classic observation that the QR algorithm for diagonalizing matrices may be viewed as the time-1 map of the Toda lattice flow. This book explores many of these interactions, as well as related work in optimal control. Editor(s): Bloch, Anthony. Series: Fields Institute Communications. Num Pages: 155 pages, Illustrations. BIC Classification: PBK; PBW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 267 x 184. Weight in Grams: 539. . 1995. Hardback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821802557
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Hardback. Zustand: New. This volume brings together ideas from several areas of mathematics that have traditionally been rather disparate. The conference at The Fields Institute which gave rise to these proceedings was intended to encourage such connections. One of the key interactions occurs between dynamical systems and algorithms, one example being the by now classic observation that the QR algorithm for diagonalizing matrices may be viewed as the time-1 map of the Toda lattice flow.Another link occurs with interior point methods for linear programming, where certain smooth flows associated with such programming problems have proved valuable in the analysis of the corresponding discrete problems. More recently, other smooth flows have been introduced which carry out discrete computations (such as sorting sets of numbers) and which solve certain least squares problems. Another interesting facet of the flows described here is that they often have a dual Hamiltonian and gradient structure, both of which turn out to be useful in analyzing and designing algorithms for solving optimization problems. This volume explores many of these interactions, as well as related work in optimal control and partial differential equations. Bestandsnummer des Verkäufers LU-9780821802557
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Zustand: New. One of the key interactions occurs between dynamical systems and algorithms, one example being the by now classic observation that the QR algorithm for diagonalizing matrices may be viewed as the time-1 map of the Toda lattice flow. This book explores many of these interactions, as well as related work in optimal control. Editor(s): Bloch, Anthony. Series: Fields Institute Communications. Num Pages: 155 pages, Illustrations. BIC Classification: PBK; PBW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 267 x 184. Weight in Grams: 539. . 1995. Hardback. . . . . Bestandsnummer des Verkäufers V9780821802557
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