Zobrazeno 1 - 10
of 18
pro vyhledávání: '"77"'
Autor:
Shmuel Friedland
Publikováno v:
Linear Algebra and its Applications. (1):15-51
The classical inverse additive and multiplicative inverse eigenvalue problems for matrices are studied. Using general results on the solvability of polynomial systems it is shown that in the complex case these problems are always solvable by a finite
Autor:
D.J. Hartfiel
Publikováno v:
Linear Algebra and its Applications. (2):95-107
A production process in which the production matrix changes with respect to time is called a nonhomogeneous production process. This paper gives several mathematical results on these nonhomogeneous production processes.
Autor:
William H. Cunningham
Publikováno v:
Linear Algebra and its Applications. (3):209-215
A characterization of the maximum-cardinality common independent sets of two matroids via an unbounded convex polyhedron is proved, confirming a conjecture of D.R. Fulkerson. A similar result, involving a bounded polyhedron, is the well-known matroid
Autor:
H. Van de Vel
Publikováno v:
Linear Algebra and its Applications. (2):149-179
A stable method is proposed for the numerical solution of a linear system of equations having a generalized Vandermonde matrix. The method is based on Gaussian elimination and establishes explicit expressions for the elements of the resulting upper t
Autor:
Chandler Davis
Publikováno v:
Linear Algebra and its Applications. (1):33-43
Problem: Given operators Aj ⩾ O on Hilbert space H , with ΣAj = 1, to find commuting projectors Ej on a Hilbert space H ⊇ H such that (for all j) x∗Ajy = x∗Ejy for, x, y ∈ H . This paper gives an explicit construction, quite different from
Autor:
D. G. FitzGerald
Publikováno v:
Linear Algebra and its Applications. (3):203-207
This paper gives an efficient, direct method for testing whether an arbitrary Boolean matrix is regular and, if it is regular, for computing its maximum generalized inverse.
Autor:
Jeffrey Rackusin, William Watkins
Publikováno v:
Linear Algebra and its Applications. (3):269-276
Let L be a linear map on the space M n of all n by n complex matrices. Let h ( x 1 ,…, x n ) be a symmetric polynomial. If X is a matrix in M n with eigenvalues λ 1 ,…,λ n , denote h (λ 1 ,…,λ n ) by h ( X ). For a large class of polynomial
Autor:
Claus Michael Ringel, Vlastimil Dlab
Publikováno v:
Linear Algebra and its Applications. (2):107-124
This paper gives a complete classification of real linear transformations between two complex vector spaces in terms of matrices.
Autor:
Richard D. Hill
Publikováno v:
Linear Algebra and its Applications. (1):83-91
The main inertia theorem gives necessary and sufficient conditions that an n×n complex matrix A have no eigenvalues on the imaginary axis of the complex plane. In this paper corresponding necessary and sufficient conditions are given that A have no
Autor:
Richard Sinkhorn
Publikováno v:
Linear Algebra and its Applications. (1):79-82
Let A be an n × n doubly stochastic matrix and suppose that 1⩽ m ⩽ n −1. Let τ 1 ,…,τ m be m mutually disjoint zero diagonals in A , and suppose that every diagonal of A disjoint from τ 1 ,…,τ m has a constant sum. Then aall entries of