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Record Nr. |
UNINA9910455230303321 |
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Autore |
Absil P.-A |
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Titolo |
Optimization algorithms on matrix manifolds [[electronic resource] /] / P.-A. Absil, R. Mahony, R. Sepulchre |
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Pubbl/distr/stampa |
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Princeton, : Princeton University Press, 2008 |
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ISBN |
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1-282-15823-6 |
9786612158230 |
1-4008-3024-9 |
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Edizione |
[Course Book] |
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Descrizione fisica |
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1 online resource (240 p.) |
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Classificazione |
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Altri autori (Persone) |
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MahonyR <1967-> (Robert) |
SepulchreR <1967-> (Rodolphe) |
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Disciplina |
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Soggetti |
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Mathematical optimization |
Matrices |
Algorithms |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. [201]-220) and index. |
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Nota di contenuto |
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Frontmatter -- Contents -- List of Algorithms -- Foreword -- Notation Conventions -- Chapter One. Introduction -- Chapter Two. Motivation and Applications -- Chapter Three. Matrix Manifolds: First-Order Geometry -- Chapter Four. Line-Search Algorithms On Manifolds -- Chapter Five. Matrix Manifolds: Second-Order Geometry -- Chapter Six. Newton's Method -- Chapter Seven. Trust-Region Methods -- Chapter Eight. A Constellation Of Superlinear Algorithms -- A. Elements Of Linear Algebra, Topology, And Calculus -- Bibliography -- Index |
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Sommario/riassunto |
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Many problems in the sciences and engineering can be rephrased as optimization problems on matrix search spaces endowed with a so-called manifold structure. This book shows how to exploit the special structure of such problems to develop efficient numerical algorithms. It places careful emphasis on both the numerical formulation of the algorithm and its differential geometric abstraction--illustrating how good algorithms draw equally from the insights of differential geometry, optimization, and numerical analysis. Two more theoretical |
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chapters provide readers with the background in differential geometry necessary to algorithmic development. In the other chapters, several well-known optimization methods such as steepest descent and conjugate gradients are generalized to abstract manifolds. The book provides a generic development of each of these methods, building upon the material of the geometric chapters. It then guides readers through the calculations that turn these geometrically formulated methods into concrete numerical algorithms. The state-of-the-art algorithms given as examples are competitive with the best existing algorithms for a selection of eigenspace problems in numerical linear algebra. Optimization Algorithms on Matrix Manifolds offers techniques with broad applications in linear algebra, signal processing, data mining, computer vision, and statistical analysis. It can serve as a graduate-level textbook and will be of interest to applied mathematicians, engineers, and computer scientists. |
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2. |
Record Nr. |
UNINA9910711936303321 |
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Titolo |
2017 tax filing season : hearing before the Subcommittee on Oversight of the Committee on Ways and Means, U.S. House of Representatives, One Hundred Fifteenth Congress, first session, April 26, 2017 |
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Pubbl/distr/stampa |
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Washington : , : U.S. Government Publishing Office, , 2019 |
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Descrizione fisica |
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1 online resource (iii, 137 pages) : illustrations |
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Soggetti |
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Tax administration and procedure - United States |
Taxpayer compliance - United States |
Identity theft - United States - Prevention |
Fraud - United States - Prevention |
Fraud - Prevention |
Identity theft - Prevention |
Tax administration and procedure |
Taxpayer compliance |
Legislative hearings. |
Rules. |
United States |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di bibliografia |
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Includes bibliographical references. |
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3. |
Record Nr. |
UNINA9910154887803321 |
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Autore |
Roberts Hugh <1950-> |
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Titolo |
Berber government : the Kabyle polity in pre-colonial Algeria / / Hugh Roberts |
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Pubbl/distr/stampa |
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London ; ; New York : , : I.B. Tauris, , 2014 |
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ISBN |
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9780755609307 |
0755609301 |
9781784537661 |
1784537667 |
9780857724205 |
0857724207 |
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Descrizione fisica |
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1 online resource (352 p.) |
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Collana |
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Library of Middle East history ; ; 14 |
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Disciplina |
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Soggetti |
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Berbers - Algeria - Politics and government |
African history |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (pages [299]-312) and index. |
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Nota di contenuto |
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Chapter 1: Introduction: Considering Kabylia -- Chapter 2: Perspectives on Berber politics -- Chapter 3: The Kabyle Economy: Leqbaiel and Igawawen -- Chapter 4: Pre-Colonial Kabylia: Forms of Settlement -- Chapter 5: Kabyle Law -- Chapter 6: The Kabyle Polity -- Chapter 7: Pre-Colonial Kabylia and the Regency: Religion and Political Development, 1510-1624 -- Chapter 8: The Rise and Fall of the Lords of Koukou -- Chapter 9: The Reconstitution of Greater Kabylia after 1630. |
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Sommario/riassunto |
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"The Berber identity movement in North Africa was pioneered by the Kabyles of Algeria. But a preoccupation with identity and language has |
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obscured the fact that Kabyle dissidence has been rooted in democratic aspirations inspired by the political traditions of Kabylia itself, a Berber-speaking region in the north of Algeria. The political organisation of pre-colonial Kabylia, from which these traditions originate, was well-described by nineteenth-century French ethnographers. But their inability to explain it led to a trend amongst later theorists of Berber society, such as Ernest Gellner and Pierre Bourdieu, to dismiss Kabylia's political institutions, notably the jema'a (assembly or council), and to reduce Berber politics to a function of social structure and shared religion. In Berber Government, Hugh Roberts, a renowned expert on North Africa, uncovers and explores the remarkable logics of Kabyle political organisation. Combining political anthropology and political and social history in an interdisciplinary analysis, Roberts challenges the excessive emphasis on kinship and religion in the study of the Maghreb. He instead explores the political structures and processes of the Kabyles, examining the organisation of the Kabyle polity and its intricate frameworks of law, political representation and self-government. Additionally, in a pioneering account of Kabylia's relations with the Ottoman Regency, he provides the first in-depth historical explanation of the genesis of the Kabyle polity as this existed at the moment of the French conquest of the region in 1857. In thus grounding the explanation of Kabyle political organisation in a resolutely historical analysis spanning the Ottoman era, Berber Government offers a radical alternative to previous paradigms and lays the foundation of new way of understanding the complex place and role of the Kabyles in Algerian political life from the pre-colonial era to the present day."--Bloomsbury publishing. |
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