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math.OC2024
Tight error bounds for log-determinant cones without constraint qualifications
Ying Lin, Scott B. Lindstrom, Bruno F. Lourenço +1
In this paper, without requiring any constraint qualifications, we establish tight error bounds for the log-determinant cone, which is the closure of the hypograph of the perspecti…
math.OC2024
Optimal error bounds in the absence of constraint qualifications with applications to the -cones and beyond
Scott B. Lindstrom, Bruno F. Lourenço, Ting Kei Pong
We prove tight Hölderian error bounds for all -cones. Surprisingly, the exponents differ in several ways from those that have been previously conjectured; moreover, they illumi…