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arxiv: 1506.00340 · v3 · pith:RYNMG6YGnew · submitted 2015-06-01 · 🧮 math.MG

Integer factorization of a positive-definite matrix

classification 🧮 math.MG
keywords matrixpositive-definiteboundedcombinationconditiondimensionentriesestablishes
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This paper establishes that every positive-definite matrix can be written as a positive linear combination of outer products of integer-valued vectors whose entries are bounded by the geometric mean of the condition number and the dimension of the matrix.

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