Essays about: "polynomial algebra"

Showing result 1 - 5 of 19 essays containing the words polynomial algebra.

  1. 1. Classification of almost monomial subalgebras of small codimension

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Author : Ludvig Sundell; [2023]
    Keywords : Algebra; Subalgebra; Polynomial; SAGBI basis; LAGBI basis; Lower semigroup; Mathematics and Statistics;

    Abstract : In this text, we study almost monomial subalgebras using LAGBI bases. We introduce the concept of a LAGBI base and present an algorithm for computing them. We then use this algorithm to find, and present in a table, all polynomial subalgebras with Frobenius number smaller than or equal to ten. READ MORE

  3. 2. Randomized Diagonal Estimation

    University essay from KTH/Matematik (Avd.)

    Author : Niclas Joshua Popp; [2023]
    Keywords : Diagonal estimation; randomized numerical linear algebra; low-rank approximation; matrix functions; Diagonalestimering; randomiserad numerisk linjär algebra; lågrankad approximation; matrisfunktioner;

    Abstract : Implicit diagonal estimation is a long-standing problem that is concerned with approximating the diagonal of a matrix that can only be accessed through matrix-vector products. It is of interest in various fields of application, such as network science, material science and machine learning. READ MORE

  4. 3. Wavelength-dependent limb darkeningin the analysis oftransit spectroscopy of exoplanets

    University essay from Uppsala universitet/Institutionen för fysik och astronomi

    Author : Alberto García Ribas; [2023]
    Keywords : ;

    Abstract : Limb darkening, an optical effect characteristic of stars, where the limb (edge) seemsto be darker than the centre of the stellar body; plays an important role in our under-standing of exoplanetary transits, as it is fundamental for developing light curve modelsthat can help to undercover extrasolar companions. To recover atmospheric featuresfrom exoplanets, a principal component analysis method is typically used. READ MORE

  5. 4. A geometric approach to calculating the limit set of eigenvalues for banded Toeplitz matrices

    University essay from Lunds universitet/Matematik LTH

    Author : Teodor Bucht; [2023]
    Keywords : Toeplitz matrices; Banded Toeplitz matrices; Limit set; Eigenvalues; Mathematics and Statistics;

    Abstract : This thesis is about the limiting eigenvalue distribution of n × n Toeplitz matrices as n → ∞. The two classical questions we want to answer are: what is the limit set of the eigenvalues, and what is the limiting distribution of the eigenvalues. Our main result is a new approach to calculate the limit set Λ(b) for a Laurent polynomial b, i.e. READ MORE

  6. 5. Constructing Subalgebras of K[x] Using the Minimal Polynomial

    University essay from Lunds universitet/Matematik LTH

    Author : Marianne Ljunggren; [2023]
    Keywords : Algebra; Subalgebra; Polynomial Algebra; Minimal Polynomial; Mathematics and Statistics;

    Abstract : In this report we will be working with subalgebras A of finite codimension in K[x]. It is known that such subalgebras can be expressed using a set of linear conditions evaluated at a finite set of points called the spectrum elements of A. READ MORE