Showing papers in "Linear Algebra and its Applications in 1968"

TL;DR: The standard form for the adjacency matrix of graphs and the proof of the final theorems mainly is a matter of elementary matrix multiplication as mentioned in this paper, and it is shown that strongly regular graphs with ρ 1 = 3 contain no 3-claw.

TL;DR: The problem of finding a real, diagonal matrix M such that A + M has prescribed eigenvalues where A is any given symmetric matrix is studied in this paper, where upper and lower bounds are given for the eigen values of a symmetric matrices, obtained by the iterative application of Temple's theorem.

TL;DR: In this paper, the theory of vector-valued continued fractions is developed as a special case of matrix-valued continuoustime fractions, by exploiting an isomorphism between vectors and certain matrices.

TL;DR: In this paper, the authors make repeated use of the Sylvester-Hermite theorem that the inertia of a Hermitian matrix remains invariant under a cogredient transformation.

TL;DR: In this article, it was shown that the matrix Aad' can be factorized into the product of rt 1 matrices each with det A as its determinant, which can be achieved in various ways.

TL;DR: In this article, the authors considered the problem of determining whether a vector product of n an n permutation matrices over a field F with identity element 1 is row or column stochastic.