The Hermitian Two Matrix Model with an Even Quartic Potential
by M. Duits, A.B.J. Kuijlaars, M. Yue Mo
Publisher: American Mathematical Society 2012
Number of pages: 118
The authors consider the two matrix model with an even quartic potential and an even polynomial potential. The main result of the paper is the formulation of a vector equilibrium problem for the limiting mean density for the eigenvalues of one of the matrices. The vector equilibrium problem is defined for three measures, with external fields on the first and third measures and an upper constraint on the second measure.
Home page url
Download or read it online for free here:
by Sergei Winitzki - Ludwig-Maximilians University
An introduction to the coordinate-free approach in basic finite-dimensional linear algebra. The reader should be already exposed to the elementary vector and matrix calculations. The author makes extensive use of the exterior product of vectors.
by Yousef Saad - SIAM
This book discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods for solving matrix eigenvalue problems that arise in various engineering applications.
by G. Donald Allen - Texas A&M University
Contents: Vectors and Vector Spaces; Matrices and Linear Algebra; Eigenvalues and Eigenvectors; Unitary Matrices; Hermitian Theory; Normal Matrices; Factorization Theorems; Jordan Normal Form; Hermitian and Symmetric Matrices; Nonnegative Matrices.
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.