The admissible interval for the invariant factors of a product of matrices

DOI10.1080/03081089908818605zbMath0930.15015OpenAlexW2063173931MaRDI QIDQ4264402

Olga Azenhas

Publication date: 6 February 2000

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081089908818605

zbMATH Keywords

Young tableauxinvariant factorscombinatorial algorithmLittlewood-Richardson sequencesinvariant partitionadmissible intervallocal principal domain

Mathematics Subject Classification ID

Factorization of matrices (15A23) Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of representation theory (05E10) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (2)

Multiplicity-free skew Schur functions with full interval support ⋮ Assignment of infinite zero orders in linear systems using state feedback

Cites Work

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• Longest chains in the lattice of integer partitions ordered by majorization
• On a bijection between Littlewood-Richardson fillings of conjugate shape
• Young diagrams, Schur functions, the Gale-Ryser theorem and a conjecture or Snapper
• Interlacing inequalities for invariant factors
• Singular values and invariant factors of matrix sums and products
• Opposite Littlewood-Richardson sequences and their matrix realizations
• Matrix realizations of littlewood—richardson sequences
• Group characters and algebra
• The Multiplication of Schur-Functions and Extensions of p -Modules
• Theory and Application of Plane Partitions: Part 1

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