Matrix Methods: Applied Linear Algebra
"Matrix Methods: Applied Linear Algebra, 3 editon", as a textbook, provides a unique and comprehensive balance between the theory and computation of matrices. The application of matrices is not just...
View ArticleMatrices, Moments and Quadrature with Applications
This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient...
View ArticleMatrix Completions, Moments, and Sums of Hermitian Squares
<p>Intensive research in matrix completions, moments, and sums of Hermitian squares has yielded a multitude of results in recent decades. This book provides a comprehensive account of this...
View ArticleMatrix Mathematics
<p>When first published in 2005, <i>Matrix Mathematics</i> quickly became the essential reference book for users of matrices in all branches of engineering, science, and applied...
View ArticleLog-Gases and Random Matrices (LMS-34)
<p>Random matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years. <i>Log-Gases and Random Matrices</i> gives a comprehensive account of...
View ArticleAn Introduction to Random Matrices
The theory of random matrices plays an important role in many areas of pure mathematics and employs a variety of sophisticated mathematical tools (analytical, probabilistic and combinatorial). This...
View ArticleSpecial Matrices and Their Applications in Numerical Mathematics: Second Edition
This revised and corrected second edition of a classic on special matrices provides researchers in numerical linear algebra and students of general computational mathematics with an essential...
View ArticleMatrix Preconditioning Techniques and Applications
Preconditioning techniques have emerged as an essential part of successful and efficient iterative solutions of matrices. Ke Chen's book offers a comprehensive introduction to these methods. A vast...
View ArticleRecent Perspectives in Random Matrix Theory and Number Theory
In recent years the application of random matrix techniques to analytic number theory has been responsible for major advances in this area of mathematics. As a consequence it has created a new and...
View ArticleVector Spaces and Matrices
Students receive the benefits of axiom-based mathematical reasoning as well as a grasp of concrete formulations. Suitable as a primary or supplementary text for college-level courses in linear algebra....
View ArticleThe Theory of Matrices in Numerical Analysis
This text presents selected aspects of matrix theory that are most useful in developing computational methods for solving linear equations and finding characteristic roots. Topics include norms, bounds...
View ArticleMatrices and Transformations
Elementary, concrete approach: fundamentals of matrix algebra, linear transformation of the plane, application of properties of eigenvalues and eigenvectors to study of conics. Includes proofs of most...
View ArticleElementary Matrix Theory
Concrete treatment of fundamental concepts and operations, equivalence, determinants, matrices with polynomial elements, and similarity and congruence. Each chapter has many excellent problems and...
View ArticleMatrices and Linear Algebra
Basic textbook covers theory of matrices and its applications to systems of linear equations and related topics such as determinants, eigenvalues, and differential equations. Includes numerous...
View ArticleIntroduction to Matrices and Vectors
In this concise undergraduate text, the first three chapters present the basics of matrices — in later chapters the author shows how to use vectors and matrices to solve systems of linear...
View ArticleMatrices and Linear Transformations: Second Edition
Undergraduate-level introduction to linear algebra and matrix theory. Explores matrices and linear systems, vector spaces, determinants, spectral decomposition, Jordan canonical form, much more. Over...
View ArticleRanks of Elliptic Curves and Random Matrix Theory
Random matrix theory is an area of mathematics first developed by physicists interested in the energy levels of atomic nuclei, but it can also be used to describe some exotic phenomena in the number...
View ArticleAn Introduction to the Theory of Canonical Matrices
Elementary transformations and bilinear and quadratic forms; canonical reduction of equivalent matrices; subgroups of the group of equivalent transformations; and rational and classical canonical...
View ArticleA Survey of Matrix Theory and Matrix Inequalities
Concise yet comprehensive survey covers broad range of topics: convexity and matrices, localization of characteristic roots, proofs of classical theorems and results in contemporary research...
View ArticleSolving of Determinants with Functional Graphs
The content of this book is related to a specific topic in linear algebra advantageously to the matrix determinant. The main objective of this book to reduce the calculation processes for matrices...
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