TY  - BOOK
AU  - Kyrchei,Ivan
TI  - Advances in linear algebra research
T2  - Mathematics Research Developments
SN  - 9781634635806
AV  - QA184.2 
U1  - 512/.5 23
PY  - 2015///]
CY  - New York
PB  - nova publishers
KW  - Algebras, Linear
KW  - Algèbre linéaire
KW  - MATHEMATICS
KW  - Algebra
KW  - Intermediate
KW  - bisacsh
KW  - fast
KW  - Electronic books
N1  - Includes bibliographical references and index; Chapter 1. Minimization of quadratic froms and generalized inverses -- Chapter 2. The study of the invariants of homogeneous matric polynomials using the extended hermite equivalence Ɛrh -- Chapter 3. Cramer's rule for generalized inversed solutions -- Chapter 4. Feedback actions on linear systems over Von Neumann regular rings -- Chapter 5. How to characterize properties of general hermitian quadratic matric-valued functions by rank and inerta -- Chapter 6. Introduction to the theory of triangular matrices (tables) -- Chapter 7. Recent developments in iterative algorithms for solving linear matrix equations -- Chapter 8. Simultaneous triangularization of a pair of matrices over a principal ideal domain with quadratic minimal polynominals -- Chapter 9. Relation of row-column determinants with quasideterminants of matrices over a quaternion algebra -- Chapter 10. First order chemical kinetics matrices and stability of O.D.E. systems
N2  - This book presents original studies on the leading edge of linear algebra. Each chapter has been carefully selected in an attempt to present substantial research results across a broad spectrum. The main goal of Chapter One is to define and investigate the restricted generalized inverses corresponding to minimization of constrained quadratic form. As stated in Chapter Two, in systems and control theory, Linear Time Invariant (LTI) descriptor (Differential-Algebraic) systems are intimately related to the matrix pencil theory. A review of the most interesting properties of the Projective Equival
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ER  -