Introduction to Linear Bialgebra
by W.B.V. Kandasamy, F. Smarandache, K. Ilanthenral
Publisher: arXiv 2005
Number of pages: 238
This book has for the first time, introduced a new algebraic structure called linear bialgebra, which is also a very powerful algebraic tool that can yield itself to applications. With the recent introduction of bimatrices (2005)we have ventured in this book to introduce new concepts like linear bialgebra and Smarandache neutrosophic linear bialgebra and also give the applications of these algebraic structures.
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by S. E. Payne - University of Colorado Denver
This book is written as a text for a second semester of linear algebra at the senior or first-year-graduate level. It is assumed that you already have successfully completed a first course in linear algebra and a first course in abstract algebra.
by M. Duits, A.B.J. Kuijlaars, M. Yue Mo - American Mathematical Society
The authors consider the two matrix model with an even quartic potential and an even polynomial potential. The main result is the formulation of a vector equilibrium problem for the limiting mean density for the eigenvalues of one of the matrices.
by Zico Kolter - Stanford University
From the tabble of contents: Basic Concepts and Notation; Matrix Multiplication; Operations and Properties; Matrix Calculus (Gradients and Hessians of Quadratic and Linear Functions, Least Squares, Eigenvalues as Optimization, etc.).
by James V. Herod - Georgia Tech
These notes are about linear operators on Hilbert Spaces. The text is an attempt to provide a way to understand the ideas without the students already having the mathematical maturity that a good undergraduate analysis course could provide.