The LU decomposition is a standard matrix factorization, which expresses a matrix as the product of a lower triangular matrix and an upper triangular matrix. This is typically used in numerical linear algebra. We use this technique to find new formulas in pure mathematics. We will demonstrate new identities related to three-term recurrence relations, especially orthogonal polynomials, and Euler and Bernoulli numbers. We will also discuss the LU decomposition in Vandermonde matrices. The use of Maple, a powerful computer algebra system, was an essential tool used in this research.
Language
English
Topic
Matrices.
Topic
Orthogonal polynomials.
Keyword
Vandermonde matrices.
Keyword
LU decomposition.
Classification
QA
Related Item
Digital Grinnell
Related Item
Student Scholarship
Related Item
Undergraduate Student Symposium
Identifier (local)
grinnell:13268
Access Condition
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