Peter M. Gibson

University of Alabama in Huntsville — United States

Engineering · Physical Sciences

11h-index621citations48works0.02yr avg
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Research Topics

graph theory and CDMA systems(28), Matrix Theory and Algorithms(26), Advanced Topics in Algebra(12), Graph theory and applications(11), Mathematics and Applications(10)

Publications48 total

Eigenvalues of Hadamard powers of large symmetric Pascal matrices
Linear Algebra and its Applications·2005· 2 cited
An involutory Pascal matrix
Linear Algebra and its Applications·2004· 9 cited
Column orthogonal (0,1,-1)-matrices
Linear and Multilinear Algebra·1999· 1 cited
Combinatorially orthogonal matrices and related graphs
Linear Algebra and its Applications·1998· 11 cited
Sign-nonsingular skew-symmetric matrices with the most nonzero entries
Linear Algebra and its Applications·1996
Sign-nonsingular skew-symmetric matrices
Linear Algebra and its Applications·1996· 2 cited
Permanental mates of doubly stochastic matrices
Linear Algebra and its Applications·1992
Stochastic complements in substochastic Matrices<sup>∗</sup>
Linear and Multilinear Algebra·1992
Applications of optical Boolean matrix operations to graph theory
Applied Optics·1991· 3 cited
On an iterative method for consistent linear Systems<sup>∗</sup>
Linear and Multilinear Algebra·1989
A Conjectured Minimum Degree Determinantal Polynomial (P. R. Vein)
SIAM Review·1987· 1 cited
Superconvergence of hybrid optoelectronic processors
Applied Optics·1987· 24 cited
Permanents of d-dimensional matrices
Linear Algebra and its Applications·1987· 18 cited
Disproof of a conjecture on assignment functions
Linear and Multilinear Algebra·1987
An upper bound for the permanent of a 3-dimensional (0,1)-matrix
Proceedings of the American Mathematical Society·1987· 7 citedOpen Access
An Upper Bound for the Permanent of a 3-Dimensional (0, 1)-Matrix
Proceedings of the American Mathematical Society·1987· 1 cited
A bound for the number of tournaments with specified scores
Journal of Combinatorial Theory Series B·1984· 5 cited
Permanental Polytopes of Doubly Stochastic Matrices
Linear Algebra and its Applications·1980· 7 cited
Generalized doubly stochastic and permutation matrices over a ring
Linear Algebra and its Applications·1980· 10 cited
Real permanental roots of doubly stochastic matrices
Linear Algebra and its Applications·1978· 3 cited
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Frequent Co-authors

Richard A. Brualdi(5), Stephen J. Dow(3), H. John Caulfield(2), Guohui Zhang(2), Ashkan Ashrafi(2), E. T. Beasley(2), Emeric Deutsch(1), Hans Schneider(1), Mustafa A. G. Abushagur(1), M.A. Habli(1), H. S. Shapiro(1)