Nonnegative Solutions of a Quadratic Matrix Equation Arising from Comparison Theorems in Ordinary Differential Equations

DOI10.1137/0606005zbMath0558.15005OpenAlexW1968639722MaRDI QIDQ3222983

Henry Wolkowicz, Charles R. Johnson, Geoffrey Butler

Publication date: 1985

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0606005

zbMATH Keywords

nonnegativequadratic matrix equationmatrix differential equationcone orderingsnonoscillation criterion

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Positive matrices and their generalizations; cones of matrices (15B48) Linear ordinary differential equations and systems (34A30)

Related Items

Perron-Frobenius theorems for the numerical range of semi-monic matrix polynomials ⋮ Completing a block diagonal matrix with a partially prescribed inverse ⋮ Condition numbers and backward error of a matrix polynomial equation arising in stochastic models ⋮ Convergence of pure and relaxed Newton methods for solving a matrix polynomial equation arising in stochastic models ⋮ Elementary symmetric functions of two solvents of a quadratic matrix equation ⋮ Convergence of relaxed Newton method for order-convex matrix equations ⋮ Unnamed Item ⋮ An explicit polynomial to globalize algorithms for solving matrix polynomial equations ⋮ A survey of nonsymmetric Riccati equations

Cites Work

• Unnamed Item
• Unnamed Item
• Comparison theorems for second-order operator-valued linear differential equations
• On square roots of M-matrices
• Inverse M-matrices
• Oscillation criteria for second order self adjoint differential systems
• Analytic functions ofM-matrices and generalizations
• Positive functionals and oscillation criteria for second order differential systems
• AnN-Dimensional Extension of the Sturm Separation and Comparison Theory to a Class of Nonselfadjoint Systems
• Square roots of complex matrices
• Non-Oscillation Theorems

This page was built for publication: Nonnegative Solutions of a Quadratic Matrix Equation Arising from Comparison Theorems in Ordinary Differential Equations