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

Research output: Contribution to journal › Article › 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.

Original language	English
Pages (from-to)	232-245
Number of pages	14
Journal	American Mathematical Monthly
Volume	108
Issue number	3
DOIs	https://doi.org/10.2307/2695384
Publication status	Published - Mar 2001
Externally published	Yes

Access to Document

10.2307/2695384

Cite this

@article{2896909bafff403398c8f0f24a2b2f4f,

title = "The matrices of Pascal and other greats",

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.",

author = "Lidia Aceto and Donato Trigiante",

year = "2001",

month = mar,

doi = "10.2307/2695384",

language = "English",

volume = "108",

pages = "232--245",

journal = "American Mathematical Monthly",

issn = "0002-9890",

publisher = "Taylor and Francis Ltd.",

number = "3",

}

TY - JOUR

T1 - The matrices of Pascal and other greats

AU - Aceto, Lidia

AU - Trigiante, Donato

PY - 2001/3

Y1 - 2001/3

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0035580801

U2 - 10.2307/2695384

DO - 10.2307/2695384

M3 - Article

SN - 0002-9890

VL - 108

SP - 232

EP - 245

JO - American Mathematical Monthly

JF - American Mathematical Monthly

IS - 3

ER -

The matrices of Pascal and other greats

Abstract

Access to Document

Other files and links

Fingerprint

Cite this