Solvability for Two Forms of Nonlinear Matrix Equations

Author:

Zhai ChengboORCID,Jin Zhixiang

Funder

ShanXi Science and Technology Department

Publisher

Springer Science and Business Media LLC

Subject

Anesthesiology and Pain Medicine

Reference17 articles.

1. Guo, D., Lakshmikantham, V.: Nonlinear Problems in Abstract Cones. Academic Press, New York (1988)

2. Mouhadjer, L., Benahmed, B.: Fixed point theorem in ordered Banach spaces and applications to matrix equations. Positivity 20, 981–998 (2016)

3. Duan, X., Liao, A.: On the existence of Hermitian positive definite solutions of the matrix equation $$X^{s}+A^*X^{-t}A=Q,$$ Linear Algebra Appl. 429, 673–687 (2008)

4. Lawson, J.D., Lim, Y.: The geometric mean, matrices, metrics, and more. Am. Math. Mon. 108, 797–812 (2001)

5. Ando, T.: Concavity of certain maps on positive definite matrices and applications to Hadamard products. Linear Algebra Appl. 26, 203–241 (1979)

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3. Some matrix equations involving the weighted geometric mean;Advances in Operator Theory;2021-10-20

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