A combinatorial algorithm for computing the entire sequence of the maximum degree of minors of a generic partitioned polynomial matrix with $$2 \times 2$$ submatrices-Reference-Cited by-同舟云学术

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A combinatorial algorithm for computing the entire sequence of the maximum degree of minors of a generic partitioned polynomial matrix with $$2 \times 2$$ submatrices

Published:2023-05-19 Issue: Volume: Page:
ISSN:0025-5610
Container-title:Mathematical Programming
language:en
Short-container-title:Math. Program.

Author:

Iwamasa Yuni^ORCID

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Software

Link

https://link.springer.com/content/pdf/10.1007/s10107-023-01949-1.pdf

Reference40 articles.

1. Améndola, C., Kohn, K., Reichenbach, P., Seigal, A.: Invariant theory and scaling algorithms for maximum likelihood estimation. SIAM J. Appl. Algebra Geom. 5(2), 304–337 (2021)

2. Camerini, P.M., Galbiati, G., Maffioli, F.: Random pseudo-polynomial algorithms for exact matroid problems. J. Algorithms 13, 258–273 (1992)

3. Cohn, P.M.: Skew Fields: Theory of General Division Rings. Cambridge University Press (1995)

4. Dieudonné, J.: Les déterminants sur un corps non commutatif. Bull. Soc. Math. France 71, 27–45 (1943)

5. Dutilleul, P.: The MLE algorithm for the matrix normal distribution. J. Stat. Comput. Simul. 64(2), 105–123 (1999)

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