Trace of Positive Integer Power of Real 2 × 2 Matrices
... The computation of the trace of matrix powers has received much attention. In [5], an algorithm for computing Tr Ak , k ∈ Z is proposed, when A is a lower Hessenberg matrix with a unit codiagonal. In [6], a symbolic calculation of the trace of powers of tridiagonal matrices is presented. Let A be a ...
... The computation of the trace of matrix powers has received much attention. In [5], an algorithm for computing Tr Ak , k ∈ Z is proposed, when A is a lower Hessenberg matrix with a unit codiagonal. In [6], a symbolic calculation of the trace of powers of tridiagonal matrices is presented. Let A be a ...
Laplace-Beltrami Eigenfunctions for Deformation Invariant Shape
... its expansion in terms of the eigenfunctions. Under some mild conditions, the expansion will converge to f pointwise; consequently, the equality f (p) = f (q) will hold. However, one can easily imagine a “nice” function that takes distinct values at those two points – a contradiction meaning that th ...
... its expansion in terms of the eigenfunctions. Under some mild conditions, the expansion will converge to f pointwise; consequently, the equality f (p) = f (q) will hold. However, one can easily imagine a “nice” function that takes distinct values at those two points – a contradiction meaning that th ...
Bonus Lecture: Knots Theory and Linear Algebra Sam Nelson In this
... In this lecture, we will see some connections between my area of research, a subfield of low-dimensional topology known as knot theory, and linear algebra. We’ll start with some preliminaries about knots, then see two types of knot invariants defined using linear algebra: the Alexander Polynomial an ...
... In this lecture, we will see some connections between my area of research, a subfield of low-dimensional topology known as knot theory, and linear algebra. We’ll start with some preliminaries about knots, then see two types of knot invariants defined using linear algebra: the Alexander Polynomial an ...
Towers of Free Divisors
... In this first part of the paper, we identify a special class of representations of linear algebraic groups (especially solvable groups) which yield free divisors. Free divisors arising from representations are termed “linear free divisors” by Mond, who with Buchweitz first considered those that aris ...
... In this first part of the paper, we identify a special class of representations of linear algebraic groups (especially solvable groups) which yield free divisors. Free divisors arising from representations are termed “linear free divisors” by Mond, who with Buchweitz first considered those that aris ...
