Full spark frames and totally positive matrices

izvorni znanstveni rad

izvorni znanstveni rad

Full spark frames and totally positive matrices

Vrsta prilog u časopisu
Tip izvorni znanstveni rad
Godina 2019
Časopis Linear and multilinear algebra
Volumen 67
Svesčić 8
Stranice str. 1511-1521
DOI 10.1080/03081087.2018.1466864
ISSN 0308-1087
EISSN 1563-5139
Status objavljeno

Sažetak

In this paper we establish a connection between full spark frames and totally nonsingular matrices. Then we provide a method for constructing infinite totally positive matrices which make up a subclass of the class of totally nonsingular matrices. Using this method we then construct a family of infinite totally positive matrices parameterized by non-negative numbers which contains, as the simplest case, the infinite Pascal matrix. The paper ends with some examples and comments on full spark frames.

Ključne riječi

frame ; full spark ; totally nonsingular matrix ; totally positive matrix