A New Inversion-free Method for Hermitian Positive Definite Solution of Matrix Equation

An inversion-free iterative algorithm is presented for
solving nonlinear matrix equation with a stepsize parameter t. The
existence of the maximal solution is discussed in detail, and the
method for finding it is proposed. Finally, two numerical examples
are reported that show the efficiency of the method.

• Minghui Wang
• Juntao Zhang

• Inversion-free method
• Hermitian positive definite solution
• Maximal solution
• Convergence.

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