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Generalized Schur functions and generalized decomposable symmetric tensors

โœ Scribed by Tian-Gang Lei

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
589 KB
Volume
263
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

We discuss the properties of generalized Schur functions and investigate conditions for two generalized decomposable symmetric tensors to be equal. The analogue of replacing generalized Schur functions by generalized trace functions is also considered.

๐Ÿ“œ SIMILAR VOLUMES

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We prove that the characterization of the singular matrices A satisfying (1) dan(AX) = dan(XA) VX can be reduced to that of matrices satisfying (2) dan(AX) = 0 VX, where dan is a Schur function. Some partial results on the characterization of (2) are obtained.

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We begin by classifying all solutions of two natural recurrences that Bernstein polynomials satisfy. The first scheme gives a natural characterization of Stancu polynomials. In Section 2, we identify the Bernstein polynomials as coefficients in the generating function for the elementary symmetric fu