Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Logarithmic Norms for Matrix Pencils
SIAM Journal on Matrix Analysis and Applications
Second Logarithmic Derivative of a Complex Matrix in the Chebyshev Norm
SIAM Journal on Matrix Analysis and Applications
Differential calculus for some p-norms of the fundamental matrix with applications
Journal of Computational and Applied Mathematics
How Close Can the Logarithmic Norm of a Matrix Pencil Come to the Spectral Abscissa?
SIAM Journal on Matrix Analysis and Applications
Differential calculus for p-norms of complex-valued vector functions with applications
Journal of Computational and Applied Mathematics
Extension and further development of the differential calculus for matrix norms with applications
Journal of Computational and Applied Mathematics
Higher Order Logarithmic Derivatives of Matrices in the Spectral Norm
SIAM Journal on Matrix Analysis and Applications
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In an earlier paper, the author introduced new upper bounds for free linear and nonlinear vibration systems; to compute the best upper bounds, the differential calculus of norms was applied. In the present paper, this work is continued for the corresponding excited systems. Some new techniques and ideas are involved. The results in the applications cannot be obtained by the methods used so far.