matrix theory


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matrix theory

[′mā·triks ‚thē·ə·rē]
(mathematics)
The algebraic study of matrices and their use in evaluating linear processes.
References in periodicals archive ?
d]) can be determined using a model based on transfer matrix theory (Munjal 1987; Munjal et al.
The book's 18 chapters begin with topics that might already be familiar to advanced undergraduates such as linear algebra, matrix theory, and differential equations and conclude with discussions of more advanced topics: conformal mapping; Fourier, Hankel and inverse Laplace transforms; and non-linear ordinary differential equations.
Such progress would have dramatic impact on long-standing fundamental conjectures regarding concentration of measure on high-dimensional convex domains, as well as other closely related fields such as Probability Theory, Learning Theory, Random Matrix Theory and Algorithmic Geometry.
The sub-projects deal with: statistics of energy levels and wave functions of pseudo-integrable systems, a hitherto unexplored subject in the mathematical community which is not well understood in the physics community; with statistics of zeros of zeta functions over function fields, a purely number theoretic topic which is linked to the subproject on Quantum Chaos through the mysterious connections to Random Matrix Theory and an analogy between energy levels and zeta zeros; and with spatial statistics in arithmetic.
The book assumes readers have background in multivariable calculus, matrix theory, elementary probability theory, and linear differential equations, although a few supplemental proofs are given in the appendix.
His approach provides comprehensive coverage of the matrix theory and includes a collection of topics not found in any other one book.
Nigel Lee brings extensive experience in matrix theory, adaptive signal processing, and systems analysis to Euclid Discoveries, where he will work to develop advanced algorithms for image and video processing.
Raleigh) offers a textbook for a first-semester graduate course in matrix theory for students of applied and pure mathematics, all areas of engineering, and operations research.
Skew-orthogonal polynomials and random matrix theory.
The opening chapters review Galois fields, matrix theory, Gaussian approximation, combinatorial analysis for unipolar codes, and the coding techniques and enabling hardware technologies of seven optical coding schemes.
The 64 papers in this collection explore field theory and polynomials, commutative rings and algebras, matrix theory, associative rings, K-theory, group theory and generalizations, topological groups, Lie groups, and differential geometry.
For the Fibonacci numbers, applications are discussed in relation to set theory, the composition of integers, graph theory, matrix theory, trigonometry, botany, chemistry, physics, probability, and computational complexity.