Category: Linear

By J. J. Risler

ISBN-10: 0521436915

ISBN-13: 9780521436915

This publication units out the basic components of the speculation of computational geometry and computer-aided layout in a mathematically rigorous demeanour. Splines and Bézier curves are first tackled, resulting in Bézier surfaces, triangulation, and field splines. the ultimate bankruptcy is dedicated to algebraic geometry and offers a company theoretical foundation for someone wishing to significantly boost and examine CAD platforms.

By L. S. Blackford, J. Choi, A. Cleary, E. D'Azevedo, J. Demmel, I. Dhillon, J. Dongarra, S. Hammarling, G. Henry, A. Petitet, K. Stanley, D. Walker, R. C. Whaley

ISBN-10: 0898713978

ISBN-13: 9780898713978

ISBN-10: 0898714001

ISBN-13: 9780898714005

ScaLAPACK is an acronym for Scalable Linear Algebra package deal or Scalable LAPACK. it's a library of high-performance linear algebra workouts for dispensed reminiscence message-passing MIMD pcs and networks of workstations aiding parallel digital computer (PVM) and/or message passing interface (MPI). it's a continuation of the LAPACK undertaking, which designed and produced analogous software program for workstations, vector supercomputers, and shared reminiscence parallel desktops. either libraries comprise workouts for fixing structures of linear equations, least squares difficulties, and eigenvalue difficulties. The objectives of either initiatives are potency, scalability, reliability, portability, flexibility, and straightforwardness of use. every one clients' advisor features a CD-ROM containing the HTML model of the ScaLAPACK clients' consultant, the resource code for the package deal, checking out and timing courses, prebuilt models of the library for a couple of pcs, instance courses, and the whole set of LAPACK operating Notes.

By Takeo Yokonuma

ISBN-10: 0821827960

ISBN-13: 9780821827963

This booklet explains, as truly as attainable, tensors and such comparable themes as tensor items of vector areas, tensor algebras, and external algebras. you'll take pleasure in Yokonuma's lucid and methodical therapy of the topic. This ebook comes in handy in undergraduate and graduate classes in multilinear algebra. Tensor areas and external Algebra starts with easy notions linked to tensors. To facilitate knowing of the definitions, Yokonuma usually offers or extra alternative ways of describing one item. subsequent, the homes and purposes of tensors are constructed, together with the classical definition of tensors and the outline of relative tensors. additionally mentioned are the algebraic foundations of tensor calculus and functions of external algebra to determinants and to geometry. This e-book closes with an exam of algebraic platforms with bilinear multiplication. particularly, Yokonuma discusses the speculation of replicas of Chevalley and several other houses of Lie algebras deduced from them.

By Yu. P. Razmyslov

ISBN-10: 0821846086

ISBN-13: 9780821846087

Prior to now 40 years, a brand new development within the concept of associative algebras, Lie algebras, and their representations has shaped lower than the impression of mathematical good judgment and common algebra, particularly, the speculation of sorts and identities of associative algebras, Lie algebras, and their representations. The final two decades have noticeable the production of the strategy of 2-words and α-functions, which allowed a few difficulties within the idea of teams, earrings, Lie algebras, and their representations to be solved in a unified approach. the chances of this system are faraway from exhausted. This publication sums up the purposes of the strategy of 2-words and α-functions within the thought of sorts and offers a scientific exposition of latest achievements within the thought of identities of algebras and their representations heavily concerning this system. the purpose is to make those issues obtainable to a much wider crew of mathematicians.

Readership: study mathematicians.

By Mike Boyle (auth.), Richard A. Brualdi, Shmuel Friedland, Victor Klee (eds.)

ISBN-10: 1461383544

ISBN-13: 9781461383543

ISBN-10: 1461383560

ISBN-13: 9781461383567

This IMA quantity in arithmetic and its functions COMBINATORIAL AND GRAPH-THEORETICAL difficulties IN LINEAR ALGEBRA relies at the complaints of a workshop that was once an essential component of the 1991-92 IMA software on "Applied Linear Algebra." we're thankful to Richard Brualdi, George Cybenko, Alan George, Gene Golub, Mitchell Luskin, and Paul Van Dooren for making plans and enforcing the year-long application. We specially thank Richard Brualdi, Shmuel Friedland, and Victor Klee for organizing this workshop and enhancing the lawsuits. The monetary help of the nationwide technology starting place made the workshop attainable. A vner Friedman Willard Miller, Jr. PREFACE The 1991-1992 application of the Institute for arithmetic and its purposes (IMA) was once utilized Linear Algebra. As a part of this software, a workshop on Com­ binatorial and Graph-theoretical difficulties in Linear Algebra used to be hung on November 11-15, 1991. the aim of the workshop was once to assemble in an off-the-cuff surroundings the various staff of people that paintings on difficulties in linear algebra and matrix conception within which combinatorial or graph~theoretic research is an incredible com­ ponent. a few of the individuals of the workshop loved the hospitality of the IMA for the whole fall sector, during which the emphasis used to be discrete matrix analysis.

By Bernard Epstein

By Crista Arangala

ISBN-10: 1482241498

ISBN-13: 9781482241495

Exploring Linear Algebra: Labs and initiatives with Mathematica^® is a hands-on lab guide for day-by-day use within the lecture room. each one lab contains workouts, theorems, and difficulties that consultant your scholars on an exploration of linear algebra.

The workouts part integrates difficulties, know-how, Mathematica^® visualization, and Mathematica CDFs, allowing scholars to find the idea and purposes of linear algebra in a significant method. The theorems and difficulties part offers the theoretical facets of linear algebra. scholars are inspired to find the reality of every theorem and challenge, to maneuver towards proving (or disproving) every one assertion, and to provide their effects to their friends.

Each bankruptcy additionally includes a undertaking set which includes application-driven initiatives that emphasize the fabric within the bankruptcy. scholars can use those initiatives because the foundation for additional undergraduate research.

By Karl H. Hofmann, Sidney A. Morris

ISBN-10: 3110296551

ISBN-13: 9783110296556

ISBN-10: 3110296799

ISBN-13: 9783110296792

ISBN-10: 3110296802

ISBN-13: 9783110296808

Facing material of compact teams that's usually brought up in fields like algebra, topology, sensible research, and theoretical physics, this e-book - now in its 3rd revised and augmented version - has been conceived with the twin function of delivering a textual content e-book for higher point graduate classes or seminars, and of serving as a resource e-book for study experts who have to follow the constitution and illustration concept of compact teams. After a gradual advent to compact teams and their illustration concept, the publication offers self-contained classes on linear Lie teams, on compact Lie teams, and on in the neighborhood compact abelian teams. in spite of the fact that, the thrust of e-book issues towards the constitution concept of endless dimensional, now not unavoidably commutative compact teams, unfettered through weight regulations or dimensional bounds. within the method it makes use of endless dimensional Lie algebras and the exponential functionality of arbitrary compact teams

By Michael Green;David J. N. Limebeer

ISBN-10: 0131022784

ISBN-13: 9780131022782

By Richard Bellman

ISBN-10: 0120849011

ISBN-13: 9780120849017

During this e-book, we research theoretical and sensible elements of computing equipment for mathematical modelling of nonlinear platforms. a couple of computing innovations are thought of, corresponding to tools of operator approximation with any given accuracy; operator interpolation suggestions together with a non-Lagrange interpolation; tools of approach illustration topic to constraints linked to innovations of causality, reminiscence and stationarity; equipment of procedure illustration with an accuracy that's the top inside a given category of types; tools of covariance matrix estimation;
methods for low-rank matrix approximations; hybrid equipment in line with a mixture of iterative systems and top operator approximation; and
methods for info compression and filtering less than clear out version should still fulfill regulations linked to causality and varieties of memory.

As a consequence, the publication represents a mix of latest tools commonly computational analysis,
and particular, but additionally well-known, concepts for research of structures conception ant its particular
branches, reminiscent of optimum filtering and knowledge compression.

- top operator approximation,
- Non-Lagrange interpolation,
- everyday Karhunen-Loeve transform
- Generalised low-rank matrix approximation
- optimum information compression
- optimum nonlinear filtering