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A Bohemian matrix family[1] is a set of fixed, finite, matrices population. The term was first used to refer to matrices whose entries are integers of bounded height, hence the name, derived from the acronym BOunded Height Matrix of Integers (BOHEMI).[2] Since then, other populations have been studied. There is no single family of Bohemian matrices. Instead, a matrix can be said to be Bohemian with respect to a set from which its entries are drawn. Bohemian matrices may possess additional structure. For example, they may be Toeplitz matrices or upper Hessenberg matrices.
A density plot of all eigenvalues of all dimensions in 15x15 Bohemian upper Hessenberg zero diagonal matrices with population cube roots of -1
^Higham, Nicholas J (December 2018). "Rhapsodizing about Bohemian Matrices". Society for Industrial and Applied Mathematics. Archived from the original on 28 February 2022. Retrieved 1 March 2022.
^Corless, Robert; Labahn, George; Piponi, Dan; Rafiee Sevyeri, Leili (2022-07-05). "Bohemian Matrix Geometry". Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation. ISSAC '22. New York, NY, USA: Association for Computing Machinery: 361–370. arXiv:2202.07769. doi:10.1145/3476446.3536177. ISBN 978-1-4503-8688-3.
A Bohemian matrix family is a set of fixed, finite, matrices population. The term was first used to refer to matrices whose entries are integers of bounded...
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range of fossils from the Talbragar fossil site (Australia) and their rock matrices using ultraviolet light-induced fluorescence/photoluminescence, X-ray fluorescence...
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