Hardbound. This book deals with numerical methods for solving large sparse linear systems of equations, particularly those arising from the discretization of partial differential equations. It covers both direct and iterative methods. Direct methods which are considered are variants of Gaussian elimination and fast solvers for separable partial differential equations in rectangular domains. The book reviews the classical iterative methods like Jacobi, Gauss-Seidel and alternating directions algorithms. A particular emphasis is put on the conjugate gradient as well as conjugate gradient -like methods for non symmetric problems. Most efficient preconditioners used to speed up convergence are studied. A chapter is devoted to the multigrid method and the book ends with domain decomposition algorithms that are well suited for solving linear systems on parallel computers.

This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties. Solving systems of algebraic linear equations is among the most frequent problems in scientific computing; it is used in many disciplines such as physics, engineering, chemistry, biology, and several others. Krylov methods have progressively emerged as the iterative methods with the highest efficiency while being very robust for solving large linear systems; they may be expected to remain so, independent of progress in modern computer-related fields such as parallel and high performance computing. The mathematical properties of the methods are described and analyzed along with their behavior in finite precision arithmetic. A number of numerical examples demonstrate the properties and the behavior of the described methods. Also considered are the methods' implementations and coding as Matlab (R)-like functions. Methods which became popular recently are considered in the general framework of Q-OR (quasi-orthogonal )/Q-MR (quasi-minimum) residual methods. This book can be useful for both practitioners and for readers who are more interested in theory. Together with a review of the state-of-the-art, it presents a number of recent theoretical results of the authors, some of them unpublished, as well as a few original algorithms. Some of the derived formulas might be useful for the design of possible new methods or for future analysis. For the more applied user, the book gives an up-to-date overview of the majority of the available Krylov methods for nonsymmetric linear systems, including well-known convergence properties and, as we said above, template codes that can serve as the base for more individualized and elaborate implementations.

This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties. Solving systems of algebraic linear equations is among the most frequent problems in scientific computing; it is used in many disciplines such as physics, engineering, chemistry, biology, and several others. Krylov methods have progressively emerged as the iterative methods with the highest efficiency while being very robust for solving large linear systems; they may be expected to remain so, independent of progress in modern computer-related fields such as parallel and high performance computing. The mathematical properties of the methods are described and analyzed along with their behavior in finite precision arithmetic. A number of numerical examples demonstrate the properties and the behavior of the described methods. Also considered are the methods' implementations and coding as Matlab (R)-like functions. Methods which became popular recently are considered in the general framework of Q-OR (quasi-orthogonal )/Q-MR (quasi-minimum) residual methods. This book can be useful for both practitioners and for readers who are more interested in theory. Together with a review of the state-of-the-art, it presents a number of recent theoretical results of the authors, some of them unpublished, as well as a few original algorithms. Some of the derived formulas might be useful for the design of possible new methods or for future analysis. For the more applied user, the book gives an up-to-date overview of the majority of the available Krylov methods for nonsymmetric linear systems, including well-known convergence properties and, as we said above, template codes that can serve as the base for more individualized and elaborate implementations.

This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. The book bridges different mathematical areas to obtain algorithms to estimate bilinear forms involving two vectors and a function of the matrix. The first part of the book provides the necessary mathematical background and explains the theory. The second part describes the applications and gives numerical examples of the algorithms and techniques developed in the first part.

Applications addressed in the book include computing elements of functions of matrices; obtaining estimates of the error norm in iterative methods for solving linear systems and computing parameters in least squares and total least squares; and solving ill-posed problems using Tikhonov regularization.

This book will interest researchers in numerical linear algebra and matrix computations, as well as scientists and engineers working on problems involving computation of bilinear forms.

Action adventure. Alain Foveaux, a former New Zealand military officer, is contracted to use his knowledge of the Middle East to procure phosphate from Syria for export to New Zealand, in defiance of American sanctions. His odyssey through a country on the brink of civil war reunites him with Valentina Golosapova, a former lover and KGB agent, now operations controller for Russian covert action in Syria. With Russian help, the New Zealander sets up a labyrinth of bank accounts to evade the American blocks on payments to Syria, provoking aggressive initiatives by the local CIA operative. When Syrians, Russians and Americans meet, there are brutal encounters in the field with Alain caught in the crossfire.

"At last A practical planning tool for use by those responsible for implementing corporate worship There's just enough information to get you in the mood of each liturgical season, then lots and lots of suggestions for creative and exciting worship."
Fred S. Mortensen, Pastor
Education Advent Lutheran Church, Boca Raton, Florida
"This is a carefully planned presentation that offers the liturgist a concise way of journaling through the seasons, keeping record of hymns, lessons, prayers, and themes each year. The special notes allow for "food for thought.""
Hannah M. Howe
Associate Pastor United Congregational Church, Tolland, Connecticut
"My Worship Planner And Organizer" is the best friend of the pastor, organist, church secretary, choir director, and worship committee when it comes to keeping worship records and reference.
Its focus is Sunday worship. Each Sunday has two pages available for taking notes and reference.
You will find Sunday by Sunday:
- Cycle A, B, and C, gospel, first and second lesson lectionary text listings for Revised Common, Episcopal, Lutheran, and Roman Catholic.
- Countless hymn possibilities based on the lectionary.
- Invaluable liturgical information, at your fingertips.
You may record Sunday by Sunday (for three years):
- Hymns used
- Special music
- Sermon titles
- Attendance
- Special notations for any Sunday
Gloria M. Meurant is a Lutheran layperson residing in Delray Beach, Florida.

Le mythe gemellaire, tres courant en milieu indo-europeen, est aussi tres repandu dans le folklore universel. Il a ses codes, ses attributs, ses emblemes, qui sont autant de "topiques" modulables en fonction des besoins locaux. Les Paliques, de tres anciennes divinites honorees en Sicile, en sont une parfaite illustration. Pourtant, si ces dieux disposent bien d'une serie de traits gemellaires (leur pere est une divinite celeste, ils sont secourables et portent une appellation duelle,...), les textes ne disent jamais que ce sont des jumeaux.On tente ici de resoudre cette question, et bien d'autres encore, a partir d'une etude serree des strates de la tradition. Un de ses principaux resultats est d'enrichir l'eventail des modeles gemellaires d'un format "intuitif", qui definit des jumeaux dont le statut se reduit, a defaut d'etre dit. L'appliquer aux Paliques permet d'y voir non plus des dieux jumeaux de souche indo-europeenne (comme on a trop souvent tendance a croire), mais locale, comme tendraient a le prouver l'indechiffrable etymologie de leur nom, l'attachement que leur a toujours temoigne le peuple sicilien et le souffle de liberte attache a leur sanctuaire.