05106nam 22008535 450 991045473530332120210114161929.01-282-08760-697866120876081-4008-2513-X10.1515/9781400825134(CKB)1000000000756257(EBL)445420(OCoLC)355680042(SSID)ssj0000243846(PQKBManifestationID)11923120(PQKBTitleCode)TC0000243846(PQKBWorkID)10168565(PQKB)10716548(DE-B1597)446375(OCoLC)979757457(DE-B1597)9781400825134(MiAaPQ)EBC445420(PPN)199244596sudoc(PPN)187949883(EXLCZ)99100000000075625720190708d2009 fg engur|n|---|||||txtccrSelf-Regularity A New Paradigm for Primal-Dual Interior-Point Algorithms /Jiming Peng, Cornelis Roos, Tamás TerlakyCourse BookPrinceton, NJ : Princeton University Press, [2009]©20031 online resource (201 p.)Princeton Series in Applied Mathematics ;22Description based upon print version of record.0-691-09193-5 Frontmatter -- Contents -- Preface -- Acknowledgments -- Notation -- List of Abbreviations -- Chapter 1. Introduction and Preliminaries -- Chapter 2. Self-Regular Functions and Their Properties -- Chapter 3. Primal-Dual Algorithms for Linear Optimization Based on Self-Regular Proximities -- Chapter 4. Interior-Point Methods for Complementarity Problems Based on Self- Regular Proximities -- Chapter 5. Primal-Dual Interior-Point Methods for Semidefinite Optimization Based on Self-Regular Proximities -- Chapter 6. Primal-Dual Interior-Point Methods for Second-Order Conic Optimization Based on Self-Regular Proximities -- Chapter 7. Initialization: Embedding Models for Linear Optimization, Complementarity Problems, Semidefinite Optimization and Second-Order Conic Optimization -- Chapter 8. Conclusions -- References -- IndexResearch on interior-point methods (IPMs) has dominated the field of mathematical programming for the last two decades. Two contrasting approaches in the analysis and implementation of IPMs are the so-called small-update and large-update methods, although, until now, there has been a notorious gap between the theory and practical performance of these two strategies. This book comes close to bridging that gap, presenting a new framework for the theory of primal-dual IPMs based on the notion of the self-regularity of a function. The authors deal with linear optimization, nonlinear complementarity problems, semidefinite optimization, and second-order conic optimization problems. The framework also covers large classes of linear complementarity problems and convex optimization. The algorithm considered can be interpreted as a path-following method or a potential reduction method. Starting from a primal-dual strictly feasible point, the algorithm chooses a search direction defined by some Newton-type system derived from the self-regular proximity. The iterate is then updated, with the iterates staying in a certain neighborhood of the central path until an approximate solution to the problem is found. By extensively exploring some intriguing properties of self-regular functions, the authors establish that the complexity of large-update IPMs can come arbitrarily close to the best known iteration bounds of IPMs. Researchers and postgraduate students in all areas of linear and nonlinear optimization will find this book an important and invaluable aid to their work.Princeton Series in Applied MathematicsInterior-point methodsMathematical optimizationMathematical optimizationProgramming (Mathematics)Mathematical optimizationInterior-point methodsProgramming (Mathematics)Civil & Environmental EngineeringHILCCEngineering & Applied SciencesHILCCOperations ResearchHILCCElectronic books.Interior-point methods.Mathematical optimization.Mathematical optimization.Programming (Mathematics).Mathematical optimizationInterior-point methodsProgramming (Mathematics)Civil & Environmental EngineeringEngineering & Applied SciencesOperations Research519.6Peng Jiming, 726750Roos Cornelis, Terlaky Tamás, DE-B1597DE-B1597BOOK9910454735303321Self-Regularity2460380UNINA02993oam 2200673I 450 991079064690332120230330023018.01-135-93969-10-415-94671-90-203-94283-31-135-93970-510.4324/9780203942833(CKB)2550000001136591(EBL)1487050(SSID)ssj0001170732(PQKBManifestationID)11687563(PQKBTitleCode)TC0001170732(PQKBWorkID)11171421(PQKB)10828849(MiAaPQ)EBC1487050(Au-PeEL)EBL1487050(CaPaEBR)ebr10784395(CaONFJC)MIL536294(OCoLC)870591803(OCoLC)861692996(FINmELB)ELB133002(EXLCZ)99255000000113659120180331d2005 uy 0engur|n|---|||||txtccrWar on the family mothers in prison and the families they leave behind /Renny GoldenNew York :Routledge,2005.1 online resource (217 p.)Description based upon print version of record.0-415-94670-0 1-306-05043-X Includes bibliographical references and index.Introduction -- Collateral damage in the war on drugs -- Joanetta's world -- Lost childhood : a family narrative -- Family narratives of survival and sorrow : Bell, Melvanie, Nadia, and Louella -- Expendable bodies, racialized policies -- Incarceration : theater of terror -- Teen mothers and the infants who saved them -- Children in the other America -- Gonna rise : Pam's story -- Eye on the prize : theorizing change -- What is to be done in the meantime? -- Beating the odds -- Addendum: Support programs for families of incarcerated mothers.In this timely book, renowned criminologist and activist Renny Golden sheds light on the women behind bars and the 350,000 children they leave behind. In exposing the fastest growing prison population-a direct result of Reagan's War on Drugs-Golden sets up new framework for thinking about how to address the situation of mothers in prison, the risks and needs of their children and the implications of current judicial policies.Prisoners' familiesUnited StatesWomen prisonersUnited StatesWomen prisonersFamily relationshipsUnited StatesChildren of women prisonersUnited StatesPrisoners' familiesWomen prisonersWomen prisonersFamily relationshipsChildren of women prisoners362.82/95/0973Golden Renny.1583298MiAaPQMiAaPQMiAaPQBOOK9910790646903321War on the family3866262UNINA