On the Singularity of LCM Matrices

DOI10.1137/S0895479896313747zbMath0926.11013MaRDI QIDQ4210276

Bo Ying Wang

Publication date: 21 September 1998

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

greatest common divisorleast common multipleSmith's determinantLCM matrixgcd-closed setBourque-Ligh conjecture

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)

Related Items (2)

Explicit expressions of Smith's determinant on a poset ⋮ On inverses of GCD matrices associated with multiplicative functions and a proof of the Hong-Loewy conjecture

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