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Numerical Methods for Structured Markov Chains

Dario A. Bini, Guy Latouche, and Beatrice Meini

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198527688
eISBN:
9780191713286
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527688.001.0001
Subject:
Mathematics, Numerical Analysis

The book deals with the numerical solution of structured Markov chains which include M/G/1 and G/M/1-type Markov chains, QBD processes, non-skip-free queues, and tree-like stochastic processes and ... More


Parallel Scientific Computation: A Structured Approach using BSP and MPI

Rob H. Bisseling

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198529392
eISBN:
9780191712869
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198529392.001.0001
Subject:
Mathematics, Applied Mathematics

This book explains the use of the bulk synchronous parallel (BSP) model and the BSPlib communication library in parallel algorithm design and parallel programming. The main topics treated in the book ... More


Quantum Transport in Mesoscopic Systems: Complexity and Statistical Fluctuations. A Maximum Entropy Viewpoint

Pier A. Mello and Narendra Kumar

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198525820
eISBN:
9780191712234
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525820.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

This book presents a statistical theory of complex wave scattering and quantum transport in a class of physical systems of current interest having chaotic classical dynamics (e.g., microwave cavities ... More


The Hartree–Fock approximation

Helmut Hofmann

in The Physics of Warm Nuclei: with Analogies to Mesoscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198504016
eISBN:
9780191708480
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198504016.003.0020
Subject:
Physics, Nuclear and Plasma Physics

This chapter formulates the Hartree-Fock approximation with density matrices, and discusses the properties of the Hartree-Fock equations together with the energy functional for the ground state ... More


Equilibrium, Stability and Growth: A Multi-Sectoral Analysis

Michio Morishima

Published in print:
1963
Published Online:
November 2003
ISBN:
9780198281450
eISBN:
9780191596650
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198281455.001.0001
Subject:
Economics and Finance, Development, Growth, and Environmental

This book brings together papers that were published by the author in several journals, and which have been revised and contain some new material. The main model carried through the whole book is ... More


Essential Quantum Mechanics

Gary Bowman

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199228928
eISBN:
9780191711206
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199228928.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

Quantum mechanics — central not only to physics, but also to chemistry, materials science, and other fields — is notoriously abstract and difficult. This book is a concise, explanatory book that ... More


Lords of the Central Marches: English Aristocracy and Frontier Society, 1087-1265

Brock Holden

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199548576
eISBN:
9780191720680
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199548576.001.0001
Subject:
History, British and Irish Medieval History

In the Middle Ages, the March between England and Wales was a contested, militarised frontier zone, a ‘land of war’. With English kings distracted by affairs in France, English frontier lords were ... More


STRING THEORY AND GAUGE THEORY

Marcos Mariño

in Chern-Simons Theory, Matrix Models, and Topological Strings

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198568490
eISBN:
9780191717604
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568490.003.0006
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter examines the relationship between gauge theories and topological strings. A precise correspondence between string theory and gauge theory was formulated by 't Hooft (1974), who used as a ... More


MATRIX EQUATIONS AND CANONICAL FACTORIZATIONS

D. A. Bini, G. Latouche, and B. Meini

in Numerical Methods for Structured Markov Chains

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198527688
eISBN:
9780191713286
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527688.003.0003
Subject:
Mathematics, Numerical Analysis

This chapter is concerned with infinite block Toeplitz matrices, their relationships with matrix power series and matrix Laurent power series, and the fundamental problem of solving matrix equations ... More


SPARSE MATRIX–VECTOR MULTIPLICATION

Rob H. Bisseling

in Parallel Scientific Computation: A Structured Approach using BSP and MPI

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198529392
eISBN:
9780191712869
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198529392.003.0004
Subject:
Mathematics, Applied Mathematics

This chapter introduces irregular algorithms and presents the example of multiplying a sparse matrix with a vector, which is the central operation in iterative solvers for linear systems and ... More


STRUCTURED INVERSE EIGENVALUE PROBLEMS

Moody T. Chu and Gene H. Golub

in Inverse Eigenvalue Problems: Theory, Algorithms, and Applications

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198566649
eISBN:
9780191718021
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566649.003.0004
Subject:
Mathematics, Applied Mathematics

The feasibility conditions for a physical system often mandate specific structural stipulations on the inverse problems. This chapter focuses on eight selected structures: Jacobi matrices, Toeplitz ... More


Lectures on Light: Nonlinear and Quantum Optics using the Density Matrix

Stephen Rand

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199574872
eISBN:
9780191722219
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199574872.001.0001
Subject:
Physics, Atomic, Laser, and Optical Physics

This book attempts to bridge the enormous gap between introductory quantum mechanics and the research front of modern optics and scientific fields that make use of light in one step. Hence, while it ... More


Integrating Macroeconomic Models with Income Distribution Models

Fred Campano and Dominick Salvatore

in Income Distribution: Includes CD

Published in print:
2006
Published Online:
May 2006
ISBN:
9780195300918
eISBN:
9780199783441
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195300912.003.0013
Subject:
Economics and Finance, Development, Growth, and Environmental

Income distribution models can be incorporated in all kinds of data-based economic macro-models. This chapter shows how this may be accomplished in long- and short-term econometric models. An ... More


Nonnegative Matrices

M. Vidyasagar

in Hidden Markov Processes: Theory and Applications to Biology

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691133157
eISBN:
9781400850518
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691133157.003.0003
Subject:
Mathematics, Probability / Statistics

This chapter deals with nonnegative matrices, which are relevant in the study of Markov processes because the state transition matrix of such a process is a special kind of nonnegative matrix, known ... More


Algebra, Sports, and Catalan Numbers

Thomas Koshy

in Catalan Numbers with Applications

Published in print:
2008
Published Online:
January 2009
ISBN:
9780195334548
eISBN:
9780199868766
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195334548.003.0011
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter presents interesting applications of Catalan numbers to abstract algebra, linear algebra, and sports. In addition, it presents three interesting number patterns involving Catalan numbers ... More


CONNECTION MATRICES

László Lovász

in Combinatorics, Complexity, and Chance: A Tribute to Dominic Welsh

Published in print:
2007
Published Online:
September 2007
ISBN:
9780198571278
eISBN:
9780191718885
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198571278.003.0012
Subject:
Mathematics, Probability / Statistics

This chapter introduces a matrix, the kth connection matrix, for a given graph parameter and integer k ≥ 0. The properties of these matrices are closely connected with properties of the parameter. ... More


STRUCTURED MATRIX ANALYSIS

D. A. Bini, G. Latouche, and B. Meini

in Numerical Methods for Structured Markov Chains

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198527688
eISBN:
9780191713286
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527688.003.0002
Subject:
Mathematics, Numerical Analysis

This chapter describes structural and computational properties which are the basis of the design and analysis of fast algorithms for the numerical solution of structured Markov chains. Toeplitz ... More


Classic Food Web Theory

Kevin S. McCann

in Food Webs (MPB-50)

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691134178
eISBN:
9781400840687
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691134178.003.0010
Subject:
Biology, Ecology

This chapter examines the basic assumptions of classic food web theory. It first considers the classic whole-community approach, which assumes that any specific matrix represents a sample from a ... More


The Empty Quadrant

Eric Hayot

in On Literary Worlds

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199926695
eISBN:
9780199980499
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199926695.003.0013
Subject:
Literature, 20th-century Literature and Modernism

This chapter considers the possibility of a fourth quadrant in the matrix defining the modal responses to any dominant world-view. That empty square, which would be the paradoxical site of an ... More


Empirical Orthogonal Functions

Gidon Eshel

in Spatiotemporal Data Analysis

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691128917
eISBN:
9781400840632
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691128917.003.0011
Subject:
Environmental Science, Environmental Studies

This chapter focuses on empirical orthogonal functions (EOFs). One of the most useful and common eigen-techniques in data analysis is the construction of EOFs. EOFs are a transform of the data; the ... More


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