Ladder networks, fixpoints, and the geometric mean

From MaRDI portal
Publication:595616

DOI10.1007/BF01599069zbMath0526.94017OpenAlexW1976988880MaRDI QIDQ595616

T. D. Morley, William N. jun. Anderson, George E. Trapp

Publication date: 1983

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01599069




Related Items

Towards positive definite solutions of a class of nonlinear matrix equationsSolving a class of nonlinear matrix equations via the coupled fixed point theoremOn the Matrix Square Root via Geometric OptimizationUnnamed ItemGlobal attractivity results on complete ordered metric spaces for third-order difference equationsConvergence analysis of Newton method without inversion for solving discrete algebraic Riccati equationsOptimal solutions and applications to nonlinear matrix and integral equations via simulation functionUnnamed ItemThe maximal positive definite solution of the nonlinear matrix equation \(X + A^*X^{-1}A+B^*X^{-1}B = I \)Fixed-point accelerated iterative method to solve nonlinear matrix equation \(X - \sum\limits_{i = 1}^m A_i^\ast X^{-1}A_i = Q^\ast\)A new fixed point theorem in \(G_b\)-metric space and its application to solve a class of nonlinear matrix equationsHybrid coupled fixed point theorems in metric spaces with applicationsFixed point iterative methods for solving the nonlinear matrix equation \(X-A^*X^{-n}A=I\)Fixed point theorems for ;1-;2_M-Geraghty type contractions with applications in matrix equationsAn alternative approach to the parallel sumShorts of block operators and infinite networks - a note on the shorted operator. IIPositive solutions to \(X=A-BX^{-1}B^*\)Positive definite solutions of the nonlinear matrix equation \(X + A^H\bar{X}^{-1}A = I\)A novel iterative method for the solution of a nonlinear matrix equationKrylov iterative methods for the geometric mean of two matrices times a vectorOn positive definite solutions of nonlinear matrix equation \(X^s-A^{*}X^{-t}A=Q\)The geometric mean of two matrices from a computational viewpointHermitian semidefinite matrix means and related matrix inequalities—an introductionIterative positive definite solutions of the two nonlinear matrix equations \(X \pm A^{T}X^{-2} A =I \)Solving a class of matrix equations via the Bhaskar-Lakshmikantham coupled fixed point theoremOn Hermitian positive definite solutions of a nonlinear matrix equationOn the perturbation analysis of the maximal solution for the matrix equation \(X - \sum\limits_{i=1}^m A_i^\ast X^{-1} A_i + \sum\limits_{j=1}^n B_j^\ast X^{-1} B_j = I\)Linear programming and operator meansNewton's iterative method to solve a nonlinear matrix equationNormwise, mixed and componentwise condition numbers of matrix equation X-∑_{i=1}^p A_i^T XA_i + ∑_{j=1}^q B_j^T XB_j = Q$Common fixed point theorems for rational \(F_{\mathcal{R}}\)-contractive pairs of mappings with applicationsPerturbation estimation for the parallel sum of Hermitian positive semi-definite matricesUnnamed ItemOn the matrix equation \(X+A^ TX^{-1}A=I\)A fixed point theorem and a norm inequality for operator meansApplying fixed point methodologies to solve a class of matrix difference equations for a new class of operators



Cites Work