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Author: John Sharp
Publisher: MIT Press
ISBN: 026203963X
Category : Design
Languages : en
Pages : 315
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Book Description
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
Author: John Sharp
Publisher: MIT Press
ISBN: 026203963X
Category : Design
Languages : en
Pages : 315
Get Book Here
Book Description
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
Author: Louis A. Hageman
Publisher: Elsevier
ISBN: 1483294374
Category : Mathematics
Languages : en
Pages : 409
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Book Description
Applied Iterative Methods
Author: Francois Robert
Publisher: Springer Science & Business Media
ISBN: 3642616070
Category : Mathematics
Languages : en
Pages : 202
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Book Description
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.
Author: Louis A. Hageman
Publisher: Courier Corporation
ISBN: 0486153304
Category : Mathematics
Languages : en
Pages : 414
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Book Description
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.
Author: Yousef Saad
Publisher: SIAM
ISBN: 0898715342
Category : Mathematics
Languages : en
Pages : 537
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Book Description
Mathematics of Computing -- General.
Author: C. T. Kelley
Publisher: SIAM
ISBN: 0898713528
Category : Mathematics
Languages : en
Pages : 169
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Book Description
Mathematics of Computing -- Numerical Analysis.
Author: Jacques Tagoudjeu
Publisher: Universal-Publishers
ISBN: 1599423960
Category : Mathematics
Languages : en
Pages : 161
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Book Description
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.
Author: Vasile Berinde
Publisher: Springer
ISBN: 3540722343
Category : Mathematics
Languages : en
Pages : 338
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Book Description
This monograph gives an introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. For each iterative method considered, it summarizes the most significant contributions in the area by presenting some of the most relevant convergence theorems. It also presents applications to the solution of nonlinear operator equations as well as the appropriate error analysis of the main iterative methods.
Author: Ostap S. Kosovych
Publisher:
ISBN:
Category : Equalizers (Electronics)
Languages : en
Pages : 62
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Book Description
This study deals with an adaptive strategy for the equalization of pulse-amplitude-modulated signals in the presence of intersymbol interference and additive note. The successive overrelaxation iterative technique is used as the algorithm for the iterative adjustment of the equalizer coefficients during a training period for the minimization of the mean square error. With 2-cyclic and non-negative Jacobi matrices substantial improvement was demonstrated in the rate of convergence over the commonly used gradient techniques. The Jacobi theorems were also extended to non-positive Jacobi matrices. Numerical examples strongly indicate that the improvements obtained for the special cases are possible for general channel characteristics. The technique was analytically demonstrated to decrease the mean square error (norm) at each iteration for a large range of parameter values for light or moderate intersymbol interference and for small intervals for general channels. Again, numerical examples indicate that the norm-decreasing property is valid for a much larger parameter range for all types of intersymbol interference. Analytically, convergence of the relaxation algorithm was proven in a noisy environment and the coefficient variance was demonstrated to be bounded. Numerical simulations conducted indicate that the relaxation algorithm consistently converged much faster than the gradient techniques; hence, it requires much less time in the training period than do the gradients.
Author: Anatoly Galperin
Publisher: CRC Press
ISBN: 1498758967
Category : Mathematics
Languages : en
Pages : 241
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Book Description
Iterative Methods without Inversion presents the iterative methods for solving operator equations f(x) = 0 in Banach and/or Hilbert spaces. It covers methods that do not require inversions of f (or solving linearized subproblems). The typical representatives of the class of methods discussed are Ulm’s and Broyden’s methods. Convergence analyses of the methods considered are based on Kantorovich’s majorization principle which avoids unnecessary simplifying assumptions like differentiability of the operator or solvability of the equation. These analyses are carried out under a more general assumption about degree of continuity of the operator than traditional Lipschitz continuity: regular continuity. Key Features The methods discussed are analyzed under the assumption of regular continuity of divided difference operator, which is more general and more flexible than the traditional Lipschitz continuity. An attention is given to criterions for comparison of merits of various methods and to the related concept of optimality of a method of certain class. Many publications on methods for solving nonlinear operator equations discuss methods that involve inversion of linearization of the operator, which task is highly problematic in infinite dimensions. Accessible for anyone with minimal exposure to nonlinear functional analysis.
