Diophantine approximation of matrices

DOI10.1216/rmjm/1181072042zbMath0883.11032OpenAlexW2080340825MaRDI QIDQ1359157

Gabriëlle ten Have, Robert Tijdeman

Publication date: 27 July 1997

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/vol26-3/contents/contents.htm

zbMATH Keywords

simultaneous approximationKronecker theoremRoth theoremDirichlet theoremeffective versioninhomogeneous approximationdiophantine approximation of matricesRoth systems

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Diophantine inequalities (11J25) Matrices, determinants in number theory (11C20)

Cites Work

• On Lovász' lattice reduction and the nearest lattice point problem
• Covering minima and lattice-point-free convex bodies
• Factoring polynomials with rational coefficients
• Matrix solutions of the equation \(X^ n=A\)
• Linear forms with algebraic coefficients. I
• Rational approximations to algebraic numbers
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