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Results tagged with matrices
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user 128577
Questions where the notion matrix has an important or crucial role (for the latter, note the tag matrix-theory for potential use). Matrices appear in various parts of mathematics, and this tag is typically combined with other tags to make the general subject clear, such as an appropriate top-level tag ra.rings-and-algebras, co.combinatorics, etc. and other tags that might be applicable. There are also several more specialized tags concerning matrices.
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Which zero-diagonal matrices contain the all-one vector in their columns' conic hull?
Let $A$ be a non-negative zero-diagonal invertible matrix. Which $A$ make the following assertions true, which are all equivalent:
The all-one vector $j$ is contained in the conic hull of $col(A)$.
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Which zero-diagonal matrices contain the all-one vector in their columns' conic hull?
This subsumes, for example, the strictly ultrametric matrices whose inverses are strictly row-diagonally dominant Stieltjes, and generalized strictly ultrametric matrices for $A$ asymmetric. … "Generalized ultrametric matrices—a class of inverse M-matrices." Linear Algebra and its Applications 220 (1995): 365-390. …
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