SELECTED PAPERS OF ALAN J HOFFMAN (WITH COMMENTARY)

Inbunden, Engelska, 2003

AvMICCHELLI CHARLES A,Charles A Micchelli

3 989 kr

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Dr Alan J Hoffman is a pioneer in linear programming, combinatorial optimization, and the study of graph spectra. In his principal research interests, which include the fields of linear inequalities, combinatorics, and matrix theory, he and his collaborators have contributed fundamental concepts and theorems, many of which bear their names.This volume of Dr Hoffman's selected papers is divided into seven sections: geometry; combinatorics; matrix inequalities and eigenvalues; linear inequalities and linear programming; combinatorial optimization; greedy algorithms; graph spectra. Dr Hoffman has supplied background commentary and anecdotal remarks for each of the selected papers. He has also provided autobiographical notes showing how he chose mathematics as his profession, and the influences and motivations which shaped his career.

Produktinformation

Utgivningsdatum2003-08-26
Mått168 x 249 x 28 mm
Vikt939 g
FormatInbunden
SpråkEngelska
Antal sidor492
FörlagWorld Scientific Publishing Co Pte Ltd
ISBN9789810241988

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Alan J Hoffman was born on May 30, 1924 in New York City. After military service, he graduated from Columbia College in 1947, and received his PhD in 1950 from Columbia University with a dissertation "On the Foundations of Inversion Geometry". He spent a year at the Institute for Advanced Study, and has worked at the National Bureau of Standards, the Office of Naval Research (London), and Management Consultation Services, General Electric Company. Until his recent retirement, he worked 41 years at the IBM T J Watson Research Center. He has also held adjunct and visiting professorships at City University of New York, Yale, Stanford, Technion, Georgia Institute of Technology, and Rutgers. His exuberance and enthusiasm in research and teaching is legendary.

The Variation of the Spectrum of a Normal Matrix (with H W Wielandt) - Integral Boundary Points of Convex Polyhedra (with J Kruskal) - On Moore Graphs with Diameters 2 and 3 (with R R Singleton) - Cycling in the Simplex Algorithm - On Approximate Solutions of Systems of Linear Inequalities - On the Polynomial of a Graph - Some Recent Applications of the Theory of Linear Inequalities of Extremal Combinatorial Analysis - On Simple Linear Programming Problems - Self-Orthogonal Latin Squares (with R K Brayton & D Coppersmith) - On the Nonsingularity of Complex Matrices (with P Camion) - A Generalization of Max Flow-Min Cut - A Characterization of Comparability Graphs and of Interval Graphs (with P C Gilmore) - and 33 other papers