ABSTRACT: In shape optimization, we often seek to optimize the shape of a domain in order to achieve a goal. For example, the sound of a drum depends on the shape of its membrane, via the eigenvalues ...
Middle East peace, climate change, Ukraine — if Sisyphus were assigned one of today’s global problems, he’d plead to be returned to rock rolling. So let’s focus for a moment on a global challenge that ...
ABSTRACT: An in-depth description of an apparently forgotten matrix operation, the reversal operator, is developed. The properties of such an operation are also given, resulting in a new vector-matrix ...
Abstract: This paper introduces a novel method for solving the single-source localization problem, specifically addressing the case of trilateration. We formulate the problem as a weighted ...
I have some questions about solving the generalized eigenvalue problem using PRIMME. I am solving for the largest magnitude eigenpair of Ax = λBx, using the massMatrixMatvec parameter in PRIMME (C ...
Taiwanese Journal of Mathematics, Vol. 26, No. 5 (October 2022), pp. 1045-1068 (24 pages) We consider how distribution of eigenvalues depends on boundary conditions of a discrete Laplacian operator on ...
Abstract: This paper is concerned with online algorithms for the generalized Hermitian eigenvalue problem (GHEP). We first present an algorithm based on randomization, termed alternate-projections ...
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