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This volume is the first in a self-contained five-volume series devoted to matrix algorithms. It focuses on the computation of matrix decompositions--that is, the factorization of matrices into products of similar ones. The first two chapters provide the required background from mathematics and computer science needed to work effectively in matrix computations. The remaining chapters are devoted to the LU and QR decompositions--their computation and applications. The singular value decomposition is also treated, although algorithms for its computation will appear in the second volume of the series. The present volume contains 65 algorithms formally presented in pseudocode. Other volumes in the series will treat eigensystems, iterative methods, sparse matrices, and structured problems. The series is aimed at the nonspecialist who needs more than black-box proficiency with matrix computations. To give the series focus, the emphasis is on algorithms, their derivation, and their analysis. The reader is assumed to have a knowledge of elementary analysis and linear algebra and a reasonable amount of programming experience, typically that of the beginning graduate engineer or the undergraduate in an honors program. Strictly speaking, the individual volumes are not textbooks, although they are intended to teach, the guiding principle being that if something is worth explaining, it is worth explaining fully. This has necessarily restricted the scope of the series, but the selection of topics should give the reader a sound basis for further study.
First Published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.
The first edition of this book, titled A DESIGN FOR INSTRUCTIONAL SUPERVISION, provided a structural framework for an effective program of instructional supervision. The basic cognitive thrust of this second edition, SUPERVISION: A Guide to Instructional Leadership, remains the same as the first. What has changed is the attention to the detail surrounding the design components. References have been updated and streamlined, activities have been modified, and examples of structure have been created using the current national policy situation as a base. Philosophical and historical definitions of supervision are maintained and expanded in this edition. It will help professionals with responsibilities for instructional leadership design a supervisory program that fits a local situation by taking advantage of the foundation provided herein. Attention is given to the selection of and the interrelationships between those assumptions, principles, objectives, criteria, and procedures so that planners of supervisory programs will gain the knowledge and tools necessary to create that structure from this book. It also provides a means for schools to have a well-conceived, carefully designed, properly implemented, and continuously evaluated plan for the supervision of instruction in order to reply competently to state and federally mandated assessments for students. In addition, personal perspectives of the authors are presented in each part of the text. The book will serve as a guide and provide direction to instructional supervisors, directors of services, principals, administrators at all levels, teachers, grade level or department chairs, and others interested in the management of instruction in the school setting.