Hot Topics in Linear Algebra by Ivan Kyrchei (English) Hardcover Book

Description: Hot Topics in Linear Algebra by Ivan Kyrchei Linear algebra is the branch of mathematics concerning vector spaces and linear mappings between such spaces. Systems of linear equations with several unknowns are naturally represented using the formalism of matrices and vectors. So we arrive at the matrix algebra, etc. Linear algebra is central to almost all areas of mathematics. Many ideas and methods of linear algebra were generalised to abstract algebra. Functional analysis studies the infinite-dimensional version of the theory of vector spaces. Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. Linear algebra is also used in most sciences and engineering areas because it allows for the modelling of many natural phenomena, and efficiently computes with such models. Hot Topics in Linear Algebra presents original studies in some areas of the leading edge of linear algebra. Each article has been carefully selected in an attempt to present substantial research results across a broad spectrum. Topics discussed herein include recent advances in analysis of various dynamical systems based on the Gradient Neural Network; Cramers rules for quaternion generalized Sylvester-type matrix equations by using noncommutative row-column determinants; matrix algorithms for finding the generalized bisymmetric solution pair of general coupled Sylvester-type matrix equations; explicit solution formulas of some systems of mixed generalised Sylvester-type quaternion matrix equations; new approaches to studying the properties of Hessenberg matrices by using triangular tables and their functions; researching of polynomial matrices over a field with respect to semi-scalar equivalence; mathematical modelling problems in chemistry with applying mixing problems, which the associated MP-matrices; and some visual apps, designed in Scilab, for the learning of different topics of linear algebra. FORMAT Hardcover LANGUAGE English CONDITION Brand New Author Biography Ivan Kyrchei (Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS of Ukraine, Lviv, Ukraine) Table of Contents Preface; Computing Generalized Inverses Using Gradient-Based Dynamical Systems; Cramers Rules for Sylvester-Type Matrix Equations; BICR Algorithm for Computing Generalized Bisymmetric Solutions of General Coupled Matrix Equations; System of Mixed Generalized Sylvester-Type Quaternion Matrix Equations; Hessenberg Matrices: Their Properties and Some Applications; Equivalence of Polynomial Matrices over a Field; Matrices in Chemical Problems Modeled Using Directed Graphs and Multigraphs; Engaging Students in the Learning of Linear Algebra; Index. Long Description Linear algebra is the branch of mathematics concerning vector spaces and linear mappings between such spaces. Systems of linear equations with several unknowns are naturally represented using the formalism of matrices and vectors. So we arrive at the matrix algebra, etc. Linear algebra is central to almost all areas of mathematics. Many ideas and methods of linear algebra were generalized to abstract algebra. Functional analysis studies the infinite-dimensional version of the theory of vector spaces. Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. Linear algebra is also used in most sciences and engineering areas because it allows for the modeling of many natural phenomena, and efficiently computes with such models.Hot Topics in Linear Algebra presents original studies in some areas of the leading edge of linear algebra. Each article has been carefully selected in an attempt to present substantial research results across a broad spectrum. Topics discussed herein include recent advances in analysis of various dynamical systems based on the Gradient Neural Network; Cramers rules for quaternion generalized Sylvester-type matrix equations by using noncommutative row-column determinants; matrix algorithms for finding the generalized bisymmetric solution pair of general coupled Sylvester-type matrix equations; explicit solution formulas of some systems of mixed generalized Sylvester-type quaternion matrix equations; new approaches to studying the properties of Hessenberg matrices by using triangular tables and their functions; researching of polynomial matrices over a field with respect to semi-scalar equivalence; mathematical modeling problems in chemistry with applying mixing problems, which the associated MP-matrices; and some visual apps, designed in Scilab, for the learning of different topics of linear algebra. Details ISBN1536177709 Publisher Nova Science Publishers Inc Year 2020 ISBN-10 1536177709 ISBN-13 9781536177701 Format Hardcover Series Mathematics Research Developments Language English Pages 307 Imprint Nova Science Publishers Inc Place of Publication New York Country of Publication United States AU Release Date 2020-07-01 NZ Release Date 2020-07-01 Author Ivan Kyrchei UK Release Date 2020-06-24 Edited by Ivan Kyrchei DEWEY 512.5 Audience Tertiary & Higher Education Publication Date 2020-07-01 US Release Date 2020-07-01 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:135689983;

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