In this note we provide a general expression for multivariable stable polynomials that reduces to Christoffel-Darboux type formulas. As a result we obtain new proofs for existing Christoffel-Darboux formulas based on Schur complements. In some cases we are able to refine existing results.
机构:
Chalmers, Dept Math Sci, SE-41296 Gothenburg, Sweden
Univ Gothenburg, SE-41296 Gothenburg, SwedenChalmers, Dept Math Sci, SE-41296 Gothenburg, Sweden
机构:
Kobe Univ, Grad Sch Syst Informat, 1-1 Rokkodai, Kobe, Hyogo 6578501, JapanKobe Univ, Grad Sch Syst Informat, 1-1 Rokkodai, Kobe, Hyogo 6578501, Japan
Sawa, Masanori
Uchida, Yukihiro
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机构:
Tokyo Metropolitan Univ, Grad Sch Sci, Dept Math Sci, 1-1 Minami Osawa, Hachioji, Tokyo 1920397, JapanKobe Univ, Grad Sch Syst Informat, 1-1 Rokkodai, Kobe, Hyogo 6578501, Japan