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Matrix Completions, Moments, and Sums of Hermitian Squares

Intensive research in matrix completions, moments, and sums of Hermitian squares has yielded a multitude of results in recent decades. This;

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Matrix Inequalities for Iterative Systems

The book reviews inequalities for weighted entry sums of matrix powers. Applications range from mathematics and CS to pure sciences. It;

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Sum of Squares

This volume is based on lectures delivered at the 2019 AMS Short Course Sum of Squares: Theory and Applications'', held January 14-15;

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Sums of Squares of Integers

squares of integers for any s and n. It is also the first book to give a proof of Szemeredi's theorem, and is the first number theory book to;

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Sums of Squares of Integers

squares of integers for any s and n. It is also the first book to give a proof of Szemeredi's theorem, and is the first number theory book to;

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Matrices, Moments and Quadrature with Applications

bilinear forms involving two vectors and a function of the matrix. The first part of the book provides the necessary mathematical background and;

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From Polynomials to Sums of Squares

From Polynomials to Sums of Squares describes a journey through the foothills of algebra and number theory based around the central theme;

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From Polynomials to Sums of Squares

From Polynomials to Sums of Squares describes a journey through the foothills of algebra and number theory based around the central theme;

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Regression and ANOVA

at Chapel Hill. The book focuses in the General Linear Model (GLM) theory, stated in matrix terms, which provides a more compact, clear, and;

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Interpolation, Schur Functions and Moment Problems II

of particular classes of contractive or nonnegative Hermitian block matrices. This book is primarily devoted to topics related to matrix versions;

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Number Theory

includes up-to-date information on divisibility problems, polynomial congruence, the sums of squares and trigonometric sums.;Five or more copies;

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New Aspects in Interpolation and Completion Theories

This volume consists of eight papers on new advances in interpolation theory for matrix functions and completion theory for matrices and;

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Number Theory in the Spirit of Liouville

and straightforward manner. The many applications provided include applications to sums of squares, sums of triangular numbers, recurrence;

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Number Theory in the Spirit of Liouville

and straightforward manner. The many applications provided include applications to sums of squares, sums of triangular numbers, recurrence;

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Advances in Linear Algebra Research

. Chapter Five gives a comprehensive investigation to behaviors of a general Hermitian quadratic matrix-valued function by using ranks and inertias;

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Nonlinear Stochastic Systems with Incomplete Information

, difference linear matrix, and parameter-dependent matrix inequalities and sums of squares to handle the computational challenges inherent in these;

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An Introduction to Moore-Penrose Rings

analysis of statistical regression, or as an optimization mechanism using the method of least squares. Subsequent sections contain both local and;

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Numerical Methods in Matrix Computations

Matrix algorithms are at the core of scientific computing and are indispensable tools in most applications in engineering. This book offers;

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Linear Algebra

topics such as Hermitian products and Jordan normal forms. Starting from the definition of matrices, it is made clear with examples that matrices;

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ANOVA

reveals the advantages, disadvantages, and counterbalancing issues of repeated measures situations. Using additive and nonadditive models to guide;

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Nonlinear Stochastic Systems with Network-Induced Phenomena

-of-squares techniques, Hamilton-Jacobi-Isaacs matrix inequalities, difference linear matrix inequalities and parameter-dependent matrix inequalities;

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Non-Hermitian Quantum Mechanics

Non-Hermitian quantum mechanics (NHQM) is an important alternative to the standard (Hermitian) formalism of quantum mechanics, enabling the;

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Combinatorial Matrix Theory

combinatorial properties and to obtain various matrix decomposition theorems. Other chapters cover the permanent of a matrix, and Latin squares. The;

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Matrix Analysis for Statistics

-contained chapters for flexibility in topic choice Applications of matrix methods in least squares regression and the analyses of mean vectors and;

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Numerical Linear Algebra

systems of equations, spectral theory, vector and matrix norms combined with main direct and iterative numerical methods, least squares problems;

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Short-Memory Linear Processes and Econometric Applications

ordinary and nonlinear least squares, maximum likelihood, and method of moments. Additional topical coverage includes an introduction to operators;

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A Modern Introduction to Linear Algebra

elimination, and reduced row echelon forms. It then offers a thorough introduction to matrix algebra, including defining the determinant naturally;

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