- J. Renegar, A Mathematical View of Interior Point Methods for Convex Optimization. [A monograph about path-following interior-point methods using self-concordant functions]
- M. Todd, Semidefinite optimization, Acta Numerica [a survey on semidefinite programming with a discussion of duality and algorithms]
- Yu. Nesterov, Introductory Lectures on Convex Optimization, Springer.

- See chapters 2 and 3 of the book Semidefinite optimization and convex algebraic geometry (edited by G. Blekherman, P. Parrilo, R. Thomas)

- Sagnol, On the semidefinite representation of real functions applied to symmetric matrices
- Fawzi and Saunderson, Lieb's concavity theorem, matrix geometric means and semidefinite optimization (please check the latest arxiv version instead of the published version, there is a mistake in the published version, see this corrigendum for details)
- Fawzi, Saunderson and Parrilo, Semidefinite approximations of the matrix logarithm (Matlab code CVXQUAD)