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The Schur Complement and Its Applications

Posted By: AvaxGenius
Date: 12 Aug 2023 22:00:25
The Schur Complement and Its Applications

The Schur Complement and Its Applications by Fuzhen Zhang
English | PDF | 2005 | 308 Pages | ISBN : 0387242716 | 11.7 MB

What's in a name? To paraphrase Shakespeare's Juliet, that which - ilie Haynsworth called the Schur complement, by any other name would be just as beautiful. Nevertheless, her 1968 naming decision in honor of Issai Schur (1875-1941) has gained lasting acceptance by the mathematical com­ munity. The Schur complement plays an important role in matrix analysis, statistics, numerical analysis, and many other areas of mathematics and its applications. Our goal is to expose the Schur complement as a rich and basic tool in mathematical research and applications and to discuss many significant re­ sults that illustrate its power and fertility.
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Groups, Matrices, and Vector Spaces: A Group Theoretic Approach to Linear Algebra (Repost)

Posted By: AvaxGenius
Date: 21 Mar 2023 13:05:11
Groups, Matrices, and Vector Spaces: A Group Theoretic Approach to Linear Algebra (Repost)

Groups, Matrices, and Vector Spaces: A Group Theoretic Approach to Linear Algebra by James B. Carrell
English | PDF | 2017 | 414 Pages | ISBN : 0387794271 | 4.3 MB

This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact. Requiring few prerequisites beyond understanding the notion of a proof, the text aims to give students a strong foundation in both geometry and algebra. Starting with preliminaries (relations, elementary combinatorics, and induction), the book then proceeds to the core topics: the elements of the theory of groups and fields (Lagrange's Theorem, cosets, the complex numbers and the prime fields), matrix theory and matrix groups, determinants, vector spaces, linear mappings, eigentheory and diagonalization, Jordan decomposition and normal form, normal matrices, and quadratic forms. The final two chapters consist of a more intensive look at group theory, emphasizing orbit stabilizer methods, and an introduction to linear algebraic groups, which enriches the notion of a matrix group.
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The ADI Model Problem

Posted By: AvaxGenius
Date: 29 Mar 2022 04:16:02
The ADI Model Problem

The ADI Model Problem by Eugene Wachspress
English | PDF | 2013 | 174 Pages | ISBN : 1461451213 | 1.4 MB

The ADI Model Problem presents the theoretical foundations of Alternating Direction Implicit (ADI) iteration for systems with both real and complex spectra and extends early work for real spectra into the complex plane with methods for computing optimum iteration parameters for both one and two variable problems.
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Lineare Algebra und analytische Geometrie

Posted By: AvaxGenius
Date: 23 Mar 2022 01:42:15
Lineare Algebra und analytische Geometrie

Lineare Algebra und analytische Geometrie by Max Koecher
Deutsch | PDF | 1983 | 299 Pages | ISBN : 3540125728 | 27.6 MB

Dieses Buch wendet sich an aIle, die durch Neigung oder Pflicht mit der Mathematik verbunden sind: Es so11
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Graph Theory: Favorite Conjectures and Open Problems - 1

Posted By: AvaxGenius
Date: 22 Mar 2022 23:57:31
Graph Theory: Favorite Conjectures and Open Problems - 1

Graph Theory: Favorite Conjectures and Open Problems - 1 by Ralucca Gera
English | PDF | 2016 | 300 Pages | ISBN : 3319319388 | 8.1 MB

This is the first in a series of volumes, which provide an extensive overview of conjectures and open problems in graph theory. The readership of each volume is geared toward graduate students who may be searching for research ideas. However, the well-established mathematician will find the overall exposition engaging and enlightening. Each chapter, presented in a story-telling style, includes more than a simple collection of results on a particular topic.
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Exercises in Computational Mathematics with MATLAB

Posted By: AvaxGenius
Date: 21 Mar 2022 18:28:47
Exercises in Computational Mathematics with MATLAB

Exercises in Computational Mathematics with MATLAB by Tom Lyche
English | PDF | 2014 | 377 Pages | ISBN : 3662435101 | 6.1 MB

Designed to provide tools for independent study, this book contains student-tested mathematical exercises joined with MATLAB programming exercises.
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Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics

Posted By: AvaxGenius
Date: 23 Jul 2020 14:45:12
Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics

Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics by Khavtgain Namsrai
English | PDF | 1986 | 440 Pages | ISBN : 9027720010 | 31.17 MB

over this stochastic space-time leads to the non local fields considered by G. V. Efimov. In other words, stochasticity of space-time (after being averaged on a large scale) as a self-memory makes the theory nonlocal. This allows one to consider in a unified way the effect of stochasticity (or nonlocality) in all physical processes.
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