Analytic functions ofM-matrices and generalizations
From MaRDI portal
Publication:3039496
DOI10.1080/03081088308817519zbMath0525.15012OpenAlexW1981441499MaRDI QIDQ3039496
Miroslav Fiedler, Hans Schneider
Publication date: 1983
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081088308817519
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Functional calculus for linear operators (47A60)
Related Items
Positive cones and convergence conditions for iterative methods based on splittings ⋮ On the positive semi-definite pth roots of positive semi-definite doubly stochastic matrices ⋮ Closure properties of certain positivity classes of matrices under various algebraic operations ⋮ On square roots of \(M\)-operators ⋮ On Newton's method and Halley's method for the principal \(p\)th root of a matrix ⋮ Monotonicity and positivity of coefficients of power series expansions associated with Newton and Halley methods for the matrix \(p\)th root ⋮ Nonnegative Solutions of a Quadratic Matrix Equation Arising from Comparison Theorems in Ordinary Differential Equations ⋮ Infinitely divisible nonnegative matrices, \(M\)-matrices, and the embedding problem for finite state stationary Markov chains ⋮ On \(p\)th roots of stochastic matrices ⋮ A study of Schröder's method for the matrix \(p\)th root using power series expansions ⋮ On functions that preserve M-matrices and inverse M-matrices ⋮ Inverse \(M\)-matrix, a new characterization ⋮ Notes on \(\omega\)- and \(\tau\)-matrices
Cites Work
- Unnamed Item
- Unnamed Item
- Geometric conditions for the existence of positive eigenvalues of matrices
- On square roots of M-matrices
- Inverse M-matrices
- Applications of the Wronskian and Gram matrices of \(\{t^ j \exp(\lambda_ k t)\}\)
- Concavity of certain maps on positive definite matrices and applications to Hadamard products
- Nonnegatively posed problems and completely monotonic functions
- Über die Determinanten mit überwiegender Hauptdiagonale
- Inequalities for M-matrices
- What is the Laplace Transform?