The maximum distance between two-dimensional Banach spaces.
The maximum multiplicity and the two largest multiplicities of eigenvalues in a Hermitian matrix whose graph is a tree
The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree, M1, was understood fully (froma combinatorial perspective) by C.R. Johnson, A. Leal-Duarte (Linear Algebra and Multilinear Algebra 46 (1999) 139-144). Among the possible multiplicity lists for the eigenvalues of Hermitian matrices whose graph is a tree, we focus upon M2, the maximum value of the sum of the two largest multiplicities when the largest multiplicity is M1. Upper and lower bounds are given for M2. Using a combinatorial...
The Max-Plus Martin boundary.
The Merris index of a graph.
The method of moving frames applied to a space of bilinear forms
The Milnor ring of a local ring
The minimum, diagonal element of a positive matrix
Properties of the minimum diagonal element of a positive matrix are exploited to obtain new bounds on the eigenvalues thus exhibiting a spectral bias along the positive real axis familiar in Perron-Frobenius theory.
The minimum rank problem over finite fields.
The Minimum Spectral Radius of Signless Laplacian of Graphs with a Given Clique Number
In this paper we observe that the minimal signless Laplacian spectral radius is obtained uniquely at the kite graph PKn−ω,ω among all connected graphs with n vertices and clique number ω. In addition, we show that the spectral radius μ of PKm,ω (m ≥ 1) satisfies [...] More precisely, for m > 1, μ satisfies the equation [...] where [...] and [...] . At last the spectral radius μ(PK∞,ω) of the infinite graph PK∞,ω is also discussed.
The minimum-norm least-squares solution of a linear system and symmetric rank-one updates.
The Moore of the Moore-Penrose inverse.
The Moore-Penrose inverse of a free matrix.
The Moore-Penrose inverse of a partitioned matrix
The Moore-Penrose inverse of a partitioned morphism in an additive category
The multiplicative matrix commutator equation (A,X)=B
The multipliers of similitudes and the Brauer group of homogeneous varieties.
The nonexistence of rank 4 IP tensors in signature .
The nonnegative -matrix completion problem.
The norm of the product of a large matrix and a random vector.
The number of solutions of in triangular matrices over .