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\iteman{io-port 05315377}
\itemau{Shen, Shu-Qian; Huang, Ting-Zhu; Cheng, Guang-Hui}
\itemti{A condition for the nonsymmetric saddle point matrix being diagonalizable and having real and positive eigenvalues.}
\itemso{J. Comput. Appl. Math. 220, No. 1-2, 8-12 (2008).}
\itemab
The authors consider nonsymmetric saddle point matrices of the form $M = [A B^T; -B C ]$, where $A$ is symmetric and positive definite, $B$ is full rank and $C$ is symmetric and positive semidefinite. For such systems they provide a new sufficient condition such that $M$ is diagonalizable, with real positive eigenvalues.
\itemrv{Constantin Popa (Constan\c ta)}
\itemcc{}
\itemut{Saddle point matrix; eigenvalue; spectral condition number; diagonalization}
\itemli{doi:10.1016/j.cam.2007.07.014}
\end