Logarithmic Norms for Matrix Pencils
From MaRDI portal
Publication:4243523
DOI10.1137/S0895479897325955zbMath0937.34002OpenAlexW2091359949MaRDI QIDQ4243523
Berta García-Celayeta, Inmaculada Higueras
Publication date: 18 May 1999
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0895479897325955
Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability of solutions to ordinary differential equations (34D20) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Matrix pencils (15A22)
Related Items (30)
On aq-gamma and a q-beta matrix functions ⋮ On the asymptotics of Laguerre matrix polynomials for large \(x\) and \(n\) ⋮ On the hypergeometric matrix functions of two variables ⋮ Stability preservation in projection-based model order reduction of large scale systems ⋮ Tensor logarithmic norm and its applications ⋮ Extension and further development of the differential calculus for matrix norms with applications. ⋮ Unnamed Item ⋮ Laguerre matrix polynomial series expansion: theory and computer applications ⋮ On the hypergeometric matrix functions of several variables ⋮ Runge-Kutta methods for DAEs. A new approach ⋮ Asymptotics of the modified Bessel and the incomplete gamma matrix functions ⋮ New upper bounds for free linear and nonlinear vibration systems with applications of the differential calculus of norms ⋮ Solution of the matrix eigenvalue problem \(VA+A^{*}V=\mu V\) with applications to the study of free linear dynamical systems ⋮ Stability-preserving parametric model reduction by matrix interpolation ⋮ ON ESTIMATION OF TRANSIENT STOCHASTIC STABILITY OF LINEAR SYSTEMS ⋮ Analyzing the stability behaviour of solutions and their approximations in case of index-$2$ differential-algebraic systems ⋮ Illustration of the logarithmic derivatives by examples suitable for classroom teaching ⋮ Constraint partitioning for structure in path-constrained dynamic optimization problems ⋮ New upper bounds for excited vibration systems with applications of the differential calculus of norms ⋮ On the basic hypergeometric matrix functions of two variables ⋮ On certainq-hypergeometric matrix functions of several variables and their matrixq-difference equations ⋮ An efficient method for option pricing with discrete dividend payment ⋮ Two-sided bounds on some output-related quantities in linear stochastically excited vibration systems with application of the differential calculus of norms ⋮ Differential calculus for the matrix norms |·|1 and |·|∞ with applications to asymptotic bounds for periodic linear systems ⋮ On the matrix versions of q-zeta function, q-digamma function and q-polygamma function ⋮ Two-sided bounds for the asymptotic behaviour of free nonlinear vibration systems with application of the differential calculus of norms ⋮ Unnamed Item ⋮ The complementary error matrix function and its role solving coupled diffusion mathematical models ⋮ Differential calculus for \(p\)-norms of complex-valued vector functions with applications ⋮ Runge-Kutta methods in elastoplasticity
This page was built for publication: Logarithmic Norms for Matrix Pencils