Strictly totally positive systems

DOI10.1006/jath.1997.3132zbMath0903.41015OpenAlexW1977683477MaRDI QIDQ1266089

J. M. Carnicer, Richard A. Zalik, Juan Manuel Peña

Publication date: 5 January 1999

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1997.3132

zbMATH Keywords

Chebyshev systemsMarkov systemintegral representation of Chebyshev systems

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items

On extended Chebyshev systems with positive accuracy ⋮ Fault Detection in Linear Metzlerian Systems ⋮ Tests for the recognition of total positivity ⋮ Interval observer design for one class of uncertain linear strictly Metzlerian time-delay systems ⋮ LMI based principles in strictly Metzlerian systems control design ⋮ On the Chebyshev property for a new family of functions ⋮ Determinantal criteria for total positivity ⋮ Knot insertion and totally positive systems ⋮ A new Chebyshev criterion and its application to planar differential systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some properties of Markov systems
• Relative differentiability and integral representation of a class of weak Markov systems
• Discontinuous Cebysev systems
• A short proof that every weak Tchebycheff system may be transformed into a weak Markov system
• Total positivity and Neville elimination
• On transforming a Tchebycheff system into a complete Tchebycheff system
• Subspaces of weak and oriented Tchebyshev-spaces
• Eigenschaften von schwach tschebyscheffschen Räumen
• A characterization of Tchebycheff systems
• A characterization of Descartes systems in Haar subspaces
• Integral representation and embedding of weak Markov systems
• Totally positive bases for shape preserving curve design and optimality of \(B\)-splines
• Splicing of Markov and weak Markov systems
• On extending the domain of definition of Chebyshev and weak Chebyshev systems
• On transforming a Tchebycheff system into a strictly totally positive system
• The LU-factorization of totally positive matrices
• Remarks on Haar systems
• Integral representation of Markov systems and the existence of adjoined functions for Haar spaces
• Total Positivity, $QR$ Factorization, and Neville Elimination
• Totally positive matrices