A variational description of the spectra of totally positive matrices, and extremal problems of approximation theory

1990 ◽  
Vol 47 (1) ◽  
pp. 26-31 ◽  
Author(s):  
A. P. Buslaev
Keyword(s):  
Approximation Theory ◽  
Extremal Problems ◽  
Totally Positive ◽  
Positive Matrices ◽  
Totally Positive Matrices

scholarly journals Sequence Characterization of 3-Dimensional Riordan Arrays and Some Application

2019 ◽  
Vol 74 (4) ◽  
Author(s):  
Roksana Słowik
Keyword(s):  
Sequence Characterization ◽  
3 Dimensional ◽  
Riordan Arrays ◽  
Totally Positive ◽  
Positive Matrices ◽  
Totally Positive Matrices

Abstract We propose the characterization of 3-dimensional Riordan arrays with use of three sequences that is analogous to the representation of 2-dimensional Riordan arrays with use of A and Z-sequence. We also suggest an application of this representation for finding totally positive matrices.

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