Full spark frames and totally positive matrices |
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| Authors: | Lj. Arambašić |
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| Affiliation: | Faculty of Science, Department of Mathematics, University of Zagreb , Zagreb, Croatia. |
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| Abstract: | 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. |
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| Keywords: | Frame full spark totally nonsingular matrix totally positive matrix |
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