## 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

## 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

## 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

## 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

## 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

## 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

## 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

## 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

## 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

## 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

## 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

## The Fundamental Theorem of Linear Algebra

*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/9780691128917.003.0010
- Subject:
- Environmental Science, Environmental Studies

This chapter summarizes pictorially some of the linear algebraic foundations discussed thus far by revisiting the fundamental theorem of linear algebra, the unifying view of matrices, vectors, and ... More