Linear equations over cones with interior: a solvability theorem with applications to matrix theory

DOI10.1016/0024-3795(73)90048-7zbMath0254.15010OpenAlexW1972375392MaRDI QIDQ2558349

Abraham Berman, Adi Ben-Israel

Publication date: 1973

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(73)90048-7

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items

Matricial inner products and pointed cones of Hermitian-preserving linear transformations, Lagrangian duality in convex conic programming with simple proofs, Linear inequalities, mathematical programming and matrix theory, Order intervals of matrices, Newton's method for a rational matrix equation occurring in stochastic control, Operator systems and convex sets with many normal cones, Linear programming and operator means, On the cone of positive semidefinite matrices, More on linear inequalities with applications to matrix theory, Properties of the solutions of rational matrix difference equations, Applying solvability theorems for matrix equations

Cites Work

• Positive operators and an inertia theorem
• Linear equations and inequalities on finite dimensional, real or complex, vector spaces: a unified theory
• Theorems of the alternative for complex linear inequalities
• Inertia theory for simultaneously triangulable complex matrices
• Positive-definite matrices and their role in the study of the characteristic roots of general matrices
• More on linear inequalities with applications to matrix theory
• Integrals which are convex functionals. II
• Contributions to the Theory of Generalized Inverses
• Probleme General de la Stabilite du Mouvement. (AM-17)
• Two Consequences of the Transposition Theorem on Linear Inequalities
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