For strongly self-concordant functions, Newton's method has a smaller local quadratic rate constant and an extended region of quadratic convergence compared to general self-concordant functions.
Springer Optimization and Its Applications, vol
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Convergence rates of Newton's method for strongly self-concordant minimization
For strongly self-concordant functions, Newton's method has a smaller local quadratic rate constant and an extended region of quadratic convergence compared to general self-concordant functions.