The Derivative of a Determinant
From MaRDI portal
Publication:4774795
DOI10.2307/2317435zbMath0287.34008OpenAlexW4255034889MaRDI QIDQ4774795
Publication date: 1972
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2317435
Determinants, permanents, traces, other special matrix functions (15A15) Linear ordinary differential equations and systems (34A30)
Related Items
Structure and stability of the equilibrium set in potential-driven flow networks ⋮ Trace and determinant preserving maps of matrices ⋮ Nonlocal diffusion problems that approximate a parabolic equation with spatial dependence ⋮ Degenerations of the generic square matrix, the polar map and the determinantal structure ⋮ Principal components for multivariate functional data ⋮ Controllability of viscoelastic stresses for nonlinear Maxwell models ⋮ Extensions of \(L^d\)-Loewner chains to higher dimensions ⋮ Power series expansion of a Hankel determinant ⋮ Mining the hidden link structure from distribution flows for a spatial social network ⋮ The Ehrlich-Aberth method for palindromic matrix polynomials represented in the Dickson basis ⋮ Homaloidal determinants ⋮ The module of logarithmic derivations of a generic determinantal ideal ⋮ Symmetry preserving degenerations of the generic symmetric matrix ⋮ Stability of rootfinding for barycentric Lagrange interpolants ⋮ Third order homogeneous weakly hyperbolic equations with nonanalytic coefficients ⋮ Inversion of a truncated Toeplitz operator and limit theorems of Szegő ⋮ Schwarzian derivatives for pluriharmonic mappings ⋮ On the simultaneous refinement of the zeros of H-palindromic polynomials ⋮ Modifications of Newton's method for even-grade palindromic polynomials and other twined polynomials ⋮ Homogeneous weakly hyperbolic equations with time dependent analytic coefficients ⋮ Initial value methods in the theory of Fredholm integral equations. III: The nonlinear eigenvalue problem ⋮ A surface mesh smoothing and untangling method independent of the CAD parameterization ⋮ Cyclicity of some Liénard systems ⋮ Nonlocal Approximations to Fokker-Planck Equations ⋮ Coordinate sections of generic Hankel matrices ⋮ A generalization of a formula of Bellman and Krein ⋮ Asymptotic behavior of block Toeplitz matrices and determinants
