A Sufficient condition for strict total positivity of a matrix

References

• Ando , T. 1987 . Totally positive matrices . Linear Algebra Appl. , 90 : 165 – 219 .
   Web of Science ®Google Scholar
• Aissen , M. , Schoenberg , I. J. and Whitney , A. M. 1952 . On generating functions of totally positive sequences I . J. Anal. Math. , 2 : 93 – 103 .
   Google Scholar
• Brenti , F. 1989 . Log-Concave and Pólya Frequency Sequences in Combinatorics . Memoirs of the Amer. Math. Soc. , 81 ( 413 ) Providence, RI
   Web of Science ®Google Scholar
• Craven , T. and Csordas , G. 1995 . Complex zero decreasing sequences . Methods Appl. Anal. , 2 ( 413 ) : 420 – 441 .
   Google Scholar
• Edrei , A. 1952 . On the generating functions of totally positive sequences II . J. Anal. Math. , 2 ( 413 ) : 104 – 109 .
   Google Scholar
• Edrei , A. 1953 . Proof of conjecture of Schoenberg on the generating function . Canad. J. Math. , 5 ( 413 ) : 86 – 94 .
   Google Scholar
• Edrei , A. 1953 . On the generating function of a doubly infinite totally positive . Trans. Amer. Math. Soc. , 74 ( 413 ) : 367 – 383 .
   Google Scholar
• Gantmacher , F. R. 1959 . The Theory of Matrices , New York : Chelsea Publishing Co. .
   Google Scholar
• Gasca , M. and Peñ , J. M. “ On the characterization of totally positive matrices ” . In Approximation Theory, Spline Functions and Applications 357 – 364 .
   Google Scholar
• 1991 . NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci , Dordrecht : Kluwer Acad. Publ. . Maratea,1991
   Google Scholar
• Gasca , M. and Peñ , J. M. 1992 . Total positivity and Neville elimination . Linear Algebra Appl. , 165 : 25 – 44 .
   Web of Science ®Google Scholar
• Gasca , M. and Penñ , J. M. On factorizations of totally positive matrices, Total Positivity and its Applications (Jaca, 1994) , 109 – 130 . Dordrecht : Kluwer Acad. Publ. .
   Google Scholar
• Karlin , S. Total Positivity , Calif : Stanford Univ. Press, Stanford .
   Google Scholar
• Pólya , G. and Szegö , G. Problems and Theorems in Analysis , New York : Springer-Verlag .
   Google Scholar
• Widder , D. V. 1941 . The Laplace Transform , Princeton : Princeton Univ. Press .
   Google Scholar
• Schoenberg , I. J. 1951 . J. Anal. Math. , 1 : 331 – 374 .
   Google Scholar