A Special Class of Matrices

SIAM Review ◽  
1973 ◽  
Vol 15 (4) ◽  
pp. 787-787
Author(s):  
J. F. Foley
Keyword(s):  
Special Class ◽  
Class Of Matrices

scholarly journals Lower bounds for tau coefficients and operator norms using composite matrix norms

1987 ◽  
Vol 35 (1) ◽  
pp. 49-57
Author(s):  
Choon Peng Tan
Keyword(s):  
Lower Bounds ◽  
General Class ◽  
Special Class ◽  
Operator Norm ◽  
Composite Matrix ◽  
Operator Norms ◽  
Class Of Matrices ◽  
Matrix Norms

Lower bounds for the tau coefficients and operator norms are derived by using composite matrix norms. For a special class of matrices B, our bounds on ‖B‖p (the operator norm of B induced by the ℓp norm) improve upon a general class of Maitre (1967) bounds for p ≥ 2.

A Special Class of Matrices (J. F. Foley)

SIAM Review ◽  
1974 ◽  
Vol 16 (4) ◽  
pp. 548-549
Author(s):  
John Z. Hearon
Keyword(s):  
Special Class ◽  
Class Of Matrices

A Lower Bound for the Permanent on a Special Class of Matrices

1974 ◽  
Vol 17 (4) ◽  
pp. 529-530
Author(s):  
D. J. Hartfiel
Keyword(s):  
Lower Bound ◽  
Special Class ◽  
Class Of Matrices ◽  
Image Position

AbstractLet Un(f) denote the class of all n × n (0, 1)-matrices with precisely r-ones, r≥3, in each row and column. Then

scholarly journals A special class of matrices

1962 ◽  
Vol 12 (2) ◽  
pp. 699-707 ◽  
Author(s):  
K. Rogers ◽  
Ernst Straus
Keyword(s):  
Special Class ◽  
Class Of Matrices

Orthogonal Matrices with Zero Diagonal. II

1971 ◽  
Vol 23 (5) ◽  
pp. 816-832 ◽  
Author(s):  
P. Delsarte ◽  
J. M. Goethals ◽  
J. J. Seidel
Keyword(s):  
General Class ◽  
Special Class ◽  
Hadamard Matrices ◽  
Orthogonal Matrices ◽  
Adjacency Matrices ◽  
Class Of Matrices

C-matrices appear in the literature at various places; for a survey, see [11]. Important for the construction of Hadamard matrices are the symmetric C-matrices, of order v ≡ 2 (mod 4), and the skew C-matrices, of order v ≡ 0 (mod 4). In § 2 of the present paper it is shown that there are essentially no other C-matrices. A more general class of matrices with zero diagonal is investigated, which contains the C-matrices and the matrices of (v, k, λ)-systems on k and k + 1 in the sense of Bridges and Ryser [6]. Skew C-matrices are interpreted in § 3 as the adjacency matrices of a special class of tournaments, which we call strong tournaments. They generalize the tournaments introduced by Szekeres [24] and by Reid and Brown [21].

scholarly journals Maximizing the determinant for a special class of block-partitioned matrices

2004 ◽  
Vol 2004 (1) ◽  
pp. 49-61 ◽  
Author(s):  
Otilia Popescu ◽  
Christopher Rose ◽  
Dimitrie C. Popescu
Keyword(s):  
Analytical Solution ◽  
Special Class ◽  
Kronecker Products ◽  
Class Of Matrices

An analytical solution is found for the maximum determinant of a block-partitioned class of matrices with constant trace for each block. As an immediate application of this result, the maximum determinant of a sum of Kronecker products is derived.

scholarly journals Regular Sequences and the Joint Spectral Radius

2017 ◽  
Vol 28 (02) ◽  
pp. 135-140 ◽  
Author(s):  
Michael Coons
Keyword(s):  
Spectral Radius ◽  
Special Class ◽  
Regular Sequence ◽  
Growth Exponent ◽  
Joint Spectral Radius ◽  
Regular Sequences ◽  
Class Of Matrices

We classify the growth of a k-regular sequence based on information from its k-kernel. In order to provide such a classification, we introduce the notion of a growth exponent for k-regular sequences and show that this exponent is equal to the base-k logarithm of the joint spectral radius of any set of a special class of matrices determined by the k-kernel.

scholarly journals On semi-orthogonality and a special class of matrices

1999 ◽  
Vol 289 (1-3) ◽  
pp. 169-182 ◽  
Author(s):  
Ju¨rgen Groβ ◽  
Go¨tz Trenkler ◽  
Sven-Oliver Troschke
Keyword(s):  
Special Class ◽  
Class Of Matrices
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