The matrices of Pascal and other greats

Lidia Aceto; Donato Trigiante

doi:10.2307/2695384

The matrices of Pascal and other greats

Lidia Aceto, Donato Trigiante

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

The Pascal matrix has been known since ancient times,and it was mentioned in Chinese mathematical texts dating from 1303. Nevertheless, it has been studied carefully only recently. It arises in probability, numerical analysis,surface reconstruction, combinatorics; we came across it while studying stability properties of numerical methods for solving ordinary differential equations. Our goal is to share some of the beauty of the Pascal matrix and show how it is related to other matrices associated with great names such as Vandermonde, Frobenius, Stirling,etc.

Lingua originale	Inglese
pagine (da-a)	232-245
Numero di pagine	14
Rivista	American Mathematical Monthly
Volume	108
Numero di pubblicazione	3
DOI	https://doi.org/10.2307/2695384
Stato di pubblicazione	Pubblicato - mar 2001
Pubblicato esternamente	Sì

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10.2307/2695384

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abstract = "The Pascal matrix has been known since ancient times,and it was mentioned in Chinese mathematical texts dating from 1303. Nevertheless, it has been studied carefully only recently. It arises in probability, numerical analysis,surface reconstruction, combinatorics; we came across it while studying stability properties of numerical methods for solving ordinary differential equations. Our goal is to share some of the beauty of the Pascal matrix and show how it is related to other matrices associated with great names such as Vandermonde, Frobenius, Stirling,etc.",

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The matrices of Pascal and other greats

Abstract

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