Tridiagonal systems of linear equations arise naturally in the numerical treatment of one-dimensional boundary value problems, discretised partial-differential equations and many time-stepping schemes ...

An algorithm is presented for solving a system of linear equations Bu = k where B is tridiagonal and of a special form. This form arises when discretizing the equation - d/dx (p(x) du/dx) = k(x) (with ...

If you're a book lover, the algorithm knows what you'll read before you do. Open TikTok and within minutes you're drowning in "dark academia" recommendations, literary fiction round-ups, and ...

Do you remember the early days of social media? The promise of connection, of democratic empowerment, of barriers crumbling and gates opening? In those heady days, the co-founder of Twitter said that ...

Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most difficult tasks in numerical ...

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Abstract: The solution of tridiagonal linear systems is used in in various fields and plays a crucial role in numerical simulations. However, there is few efficient solver for tridiagonal linear ...

Abstract: The matrix eigenvalue inverse problem is the problem of inversely determining the matrix by using the information of the known eigenvalues and eigenvectors and other constraints. The matrix ...

Some Python implementations of randomized, matrix-free algorithms for estimating $\text{tr}(A)$, $\text{tr}(A^{-1})$, $\log \det(A)$, $\text{diag}(A)$, $\text{diag}(A ...

ABSTRACT: This paper presents new numeric and symbolic algorithms for solving doubly bordered tridiagonal linear system. The proposed algorithms are derived using partition together with UL ...