Iteration

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Iterate

Author : John Sharp,Colleen Macklin
Publisher : MIT Press
Page : 315 pages
File Size : 55,8 Mb
Release : 2024-04-09
Category : Design
ISBN : 9780262551809

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Iterate by John Sharp,Colleen Macklin Pdf

How to confront, embrace, and learn from the unavoidable failures of creative practice; with case studies that range from winemaking to animation. Failure is an inevitable part of any creative practice. As game designers, John Sharp and Colleen Macklin have grappled with crises of creativity, false starts, and bad outcomes. Their tool for coping with the many varieties of failure: iteration, the cyclical process of conceptualizing, prototyping, testing, and evaluating. Sharp and Macklin have found that failure—often hidden, covered up, a source of embarrassment—is the secret ingredient of iterative creative process. In Iterate, they explain how to fail better. After laying out the four components of creative practice—intention, outcome, process, and evaluation—Sharp and Macklin describe iterative methods from a wide variety of fields. They show, for example, how Radiolab cohosts Jad Abumrad and Robert Krulwich experiment with radio as a storytelling medium; how professional skateboarder Amelia Bródka develops skateboarding tricks through trial and error; and how artistic polymath Miranda July explores human frailty through a variety of media and techniques. Whimsical illustrations tell parallel stories of iteration, as hard-working cartoon figures bake cupcakes, experiment with levitating office chairs, and think outside the box in toothbrush design (“let's add propellers!”). All, in their various ways, use iteration to transform failure into creative outcomes. With Iterate, Sharp and Macklin offer useful lessons for anyone interested in the creative process. Case Studies: Allison Tauziet, winemaker; Matthew Maloney, animator; Jad Abumrad and Robert Krulwich, Radiolab cohosts; Wylie Dufresne, chef; Nathalie Pozzi, architect, and Eric Zimmerman, game designer; Andy Milne, jazz musician; Amelia Bródka, skateboarder; Baratunde Thurston, comedian; Cas Holman, toy designer; Miranda July, writer and filmmaker

Applied Iterative Methods

Author : Louis A. Hageman,David M. Young
Publisher : Courier Corporation
Page : 414 pages
File Size : 43,9 Mb
Release : 2012-04-27
Category : Mathematics
ISBN : 9780486153308

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Applied Iterative Methods by Louis A. Hageman,David M. Young Pdf

This graduate-level text examines the practical use of iterative methods in solving large, sparse systems of linear algebraic equations and in resolving multidimensional boundary-value problems. 1981 edition. Includes 48 figures and 35 tables.

Agile and Iterative Development

Author : Craig Larman
Publisher : Addison-Wesley Professional
Page : 364 pages
File Size : 54,6 Mb
Release : 2004
Category : Computers
ISBN : 0131111558

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Agile and Iterative Development by Craig Larman Pdf

This is the definitive guide for managers and students to agile and iterativedevelopment methods: what they are, how they work, how to implement them, andwhy they should.

Iterative Learning Control for Multi-agent Systems Coordination

Author : Shiping Yang,Jian-Xin Xu,Xuefang Li,Dong Shen
Publisher : John Wiley & Sons
Page : 272 pages
File Size : 54,9 Mb
Release : 2017-03-03
Category : Technology & Engineering
ISBN : 9781119189060

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Iterative Learning Control for Multi-agent Systems Coordination by Shiping Yang,Jian-Xin Xu,Xuefang Li,Dong Shen Pdf

A timely guide using iterative learning control (ILC) as a solution for multi-agent systems (MAS) challenges, showcasing recent advances and industrially relevant applications Explores the synergy between the important topics of iterative learning control (ILC) and multi-agent systems (MAS) Concisely summarizes recent advances and significant applications in ILC methods for power grids, sensor networks and control processes Covers basic theory, rigorous mathematics as well as engineering practice

Finite Elements and Fast Iterative Solvers

Author : Howard C. Elman,David J. Silvester,Andrew J. Wathen
Publisher : Numerical Mathematics and Scie
Page : 495 pages
File Size : 47,5 Mb
Release : 2014
Category : Mathematics
ISBN : 9780199678808

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Finite Elements and Fast Iterative Solvers by Howard C. Elman,David J. Silvester,Andrew J. Wathen Pdf

This book is a description of why and how to do Scientific Computing for fundamental models of fluid flow. It contains introduction, motivation, analysis, and algorithms and is closely tied to freely available MATLAB codes that implement the methods described. The focus is on finite element approximation methods and fast iterative solution methods for the consequent linear(ized) systems arising in important problems that model incompressible fluid flow. The problems addressed are the Poisson equation, Convection-Diffusion problem, Stokes problem and Navier-Stokes problem, including new material on time-dependent problems and models of multi-physics. The corresponding iterative algebra based on preconditioned Krylov subspace and multigrid techniques is for symmetric and positive definite, nonsymmetric positive definite, symmetric indefinite and nonsymmetric indefinite matrix systems respectively. For each problem and associated solvers there is a description of how to compute together with theoretical analysis that guides the choice of approaches and describes what happens in practice in the many illustrative numerical results throughout the book (computed with the freely downloadable IFISS software). All of the numerical results should be reproducible by readers who have access to MATLAB and there is considerable scope for experimentation in the "computational laboratory" provided by the software. Developments in the field since the first edition was published have been represented in three new chapters covering optimization with PDE constraints (Chapter 5); solution of unsteady Navier-Stokes equations (Chapter 10); solution of models of buoyancy-driven flow (Chapter 11). Each chapter has many theoretical problems and practical computer exercises that involve the use of the IFISS software. This book is suitable as an introduction to iterative linear solvers or more generally as a model of Scientific Computing at an advanced undergraduate or beginning graduate level.

Parallel Iterative Algorithms

Author : Jacques Mohcine Bahi,Sylvain Contassot-Vivier,Raphael Couturier
Publisher : CRC Press
Page : 240 pages
File Size : 49,6 Mb
Release : 2007-11-28
Category : Computers
ISBN : 1584888091

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Parallel Iterative Algorithms by Jacques Mohcine Bahi,Sylvain Contassot-Vivier,Raphael Couturier Pdf

Focusing on grid computing and asynchronism, Parallel Iterative Algorithms explores the theoretical and practical aspects of parallel numerical algorithms. Each chapter contains a theoretical discussion of the topic, an algorithmic section that fully details implementation examples and specific algorithms, and an evaluation of the advantages and drawbacks of the algorithms. Several exercises also appear at the end of most chapters. The first two chapters introduce the general features of sequential iterative algorithms and their applications to numerical problems. The book then describes different kinds of parallel systems and parallel iterative algorithms. It goes on to address both linear and nonlinear parallel synchronous and asynchronous iterative algorithms for numerical computation, with an emphasis on the multisplitting approach. The final chapter discusses the features required for efficient implementation of asynchronous iterative algorithms. Providing the theoretical and practical knowledge needed to design and implement efficient parallel iterative algorithms, this book illustrates how to apply these algorithms to solve linear and nonlinear numerical problems in parallel environments, including local, distant, homogeneous, and heterogeneous clusters.

Iterative Methods for Solving Linear Systems

Author : Anne Greenbaum
Publisher : SIAM
Page : 225 pages
File Size : 51,9 Mb
Release : 1997-01-01
Category : Mathematics
ISBN : 9780898713961

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Iterative Methods for Solving Linear Systems by Anne Greenbaum Pdf

Mathematics of Computing -- Numerical Analysis.

New Splitting Iterative Methods for Solving Multidimensional Neutron Transport Equations

Author : Jacques Tagoudjeu
Publisher : Universal-Publishers
Page : 161 pages
File Size : 43,7 Mb
Release : 2011-04
Category : Mathematics
ISBN : 9781599423968

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New Splitting Iterative Methods for Solving Multidimensional Neutron Transport Equations by Jacques Tagoudjeu Pdf

This thesis focuses on iterative methods for the treatment of the steady state neutron transport equation in slab geometry, bounded convex domain of Rn (n = 2,3) and in 1-D spherical geometry. We introduce a generic Alternate Direction Implicit (ADI)-like iterative method based on positive definite and m-accretive splitting (PAS) for linear operator equations with operators admitting such splitting. This method converges unconditionally and its SOR acceleration yields convergence results similar to those obtained in presence of finite dimensional systems with matrices possessing the Young property A. The proposed methods are illustrated by a numerical example in which an integro-differential problem of transport theory is considered. In the particular case where the positive definite part of the linear equation operator is self-adjoint, an upper bound for the contraction factor of the iterative method, which depends solely on the spectrum of the self-adjoint part is derived. As such, this method has been successfully applied to the neutron transport equation in slab and 2-D cartesian geometry and in 1-D spherical geometry. The self-adjoint and m-accretive splitting leads to a fixed point problem where the operator is a 2 by 2 matrix of operators. An infinite dimensional adaptation of minimal residual and preconditioned minimal residual algorithms using Gauss-Seidel, symmetric Gauss-Seidel and polynomial preconditioning are then applied to solve the matrix operator equation. Theoretical analysis shows that the methods converge unconditionally and upper bounds of the rate of residual decreasing which depend solely on the spectrum of the self-adjoint part of the operator are derived. The convergence of theses solvers is illustrated numerically on a sample neutron transport problem in 2-D geometry. Various test cases, including pure scattering and optically thick domains are considered.

Discrete Iterations

Author : Francois Robert
Publisher : Springer Science & Business Media
Page : 202 pages
File Size : 54,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642616075

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Discrete Iterations by Francois Robert Pdf

a c 9 h In presenting this monograph, I would like to indicate both its orientation as well as my personal reasons for being interested in discrete iterations (that is, iterations on a generally very large,jinite set). While working in numerical analysis I have been interested in two main aspects: - the algorithmic aspect: an iterative algorithm is a mathematical entity which behaves in a dynamic fashion. Even if it is started far from a solution, it will often tend to get closer and closer. - the mathematical aspect: this consists of a coherent and rigorous analy sis of convergence, with the aid of mathematical tools (these tools are mainly the use of norms for convergence proofs, the use of matrix algebra and so on). One may for example refer to the algorithmic and mathematical aspects of Newton's method in JRn as well as to the QR algorithm for eigenvalues of matrices. These two algorithms seem to me to be the most fascinating algorithms in numerical analysis, since both show a remarkable practical efficiency even though there exist relatively few global convergence results for them.

Iterative Learning Control over Random Fading Channels

Author : Dong Shen,Xinghuo Yu
Publisher : CRC Press
Page : 641 pages
File Size : 42,5 Mb
Release : 2023-12-22
Category : Computers
ISBN : 9781003821120

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Iterative Learning Control over Random Fading Channels by Dong Shen,Xinghuo Yu Pdf

Random fading communication is a type of attenuation damage of data over certain propagation media. Establishing a systematic framework for the design and analysis of learning control schemes, the book studies in depth the iterative learning control for stochastic systems with random fading communication. The authors introduce both cases where the statistics of the random fading channels are known in advance and unknown. They then extend the framework to other systems, including multi-agent systems, point-to-point tracking systems, and multi-sensor systems. More importantly, a learning control scheme is established to solve the multi-objective tracking problem with faded measurements, which can help practical applications of learning control for high-precision tracking of networked systems. The book will be of interest to researchers and engineers interested in learning control, data-driven control, and networked control systems.

Iterative Methods for Toeplitz Systems

Author : Michael K. Ng
Publisher : Numerical Mathematics and Scie
Page : 370 pages
File Size : 47,6 Mb
Release : 2004
Category : Computers
ISBN : 0198504209

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Iterative Methods for Toeplitz Systems by Michael K. Ng Pdf

Toeplitz and Toeplitz-related systems arise in a variety of applications in mathematics and engineering, especially in signal and image processing.

Advances in Iterative Methods for Nonlinear Equations

Author : Sergio Amat,Sonia Busquier
Publisher : Springer
Page : 286 pages
File Size : 50,5 Mb
Release : 2016-09-27
Category : Mathematics
ISBN : 9783319392288

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Advances in Iterative Methods for Nonlinear Equations by Sergio Amat,Sonia Busquier Pdf

This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical modeling. In particular, a wide range of problems in Applied Mathematics and in Engineering can be solved by finding the solutions to these equations. The book reveals the importance of studying convergence aspects in iterative methods and shows that selection of the most efficient and robust iterative method for a given problem is crucial to guaranteeing a good approximation. A number of sample criteria for selecting the optimal method are presented, including those regarding the order of convergence, the computational cost, and the stability, including the dynamics. This book will appeal to researchers whose field of interest is related to nonlinear problems and equations, and their approximation.

A Survey of Preconditioned Iterative Methods

Author : Are Magnus Bruaset
Publisher : Routledge
Page : 175 pages
File Size : 55,7 Mb
Release : 2018-12-13
Category : Mathematics
ISBN : 9781351469371

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A Survey of Preconditioned Iterative Methods by Are Magnus Bruaset Pdf

The problem of solving large, sparse, linear systems of algebraic equations is vital in scientific computing, even for applications originating from quite different fields. A Survey of Preconditioned Iterative Methods presents an up to date overview of iterative methods for numerical solution of such systems. Typically, the methods considered are w

Iterative Dynamic Programming

Author : Rein Luus
Publisher : CRC Press
Page : 346 pages
File Size : 53,5 Mb
Release : 2019-09-17
Category : Mathematics
ISBN : 1420036025

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Iterative Dynamic Programming by Rein Luus Pdf

Dynamic programming is a powerful method for solving optimization problems, but has a number of drawbacks that limit its use to solving problems of very low dimension. To overcome these limitations, author Rein Luus suggested using it in an iterative fashion. Although this method required vast computer resources, modifications to his original schem

The Theory and Applications of Iteration Methods

Author : Ioannis K. Argyros
Publisher : CRC Press
Page : 356 pages
File Size : 42,6 Mb
Release : 2022-01-21
Category : Mathematics
ISBN : 9781000536775

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The Theory and Applications of Iteration Methods by Ioannis K. Argyros Pdf

The theory and applications of Iteration Methods is a very fast-developing field of numerical analysis and computer methods. The second edition is completely updated and continues to present the state-of-the-art contemporary theory of iteration methods with practical applications, exercises, case studies, and examples of where and how they can be used. The Theory and Applications of Iteration Methods, Second Edition includes newly developed iteration methods taking advantage of the most recent technology (computers, robots, machines). It extends the applicability of well-established methods by increasing the convergence domain and offers sharper error tolerance. New proofs and ideas for handling convergence are introduced along with a new variety of story problems picked from diverse disciplines. This new edition is for researchers, practitioners, and students in engineering, economics, and computational sciences.