Determinants and the volumes of parallelotopes and zonotopes

DOI10.1016/j.laa.2010.01.031zbMath1194.52009OpenAlexW2036680769MaRDI QIDQ972778

Nishan Krikorian, Eugene H. Gover

Publication date: 21 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.01.031

zbMATH Keywords

zonotopedeterminantal inequalitiesparallelotopeproper decomposition

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Inequalities and extremum problems involving convexity in convex geometry (52A40) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

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Cites Work

• Determinantal inequalities for positive definite matrices
• Lectures on Polytopes
• Combinatorial Properties of Associated Zonotopes
• When Does A ∗ A = B ∗ B and Why Does One Want to Know?
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