scholarly journals 7. Multilinear Algebra for Analyzing Data with Multiple Linkages

2011 ◽  
pp. 85-114 ◽  
Author(s):  
Daniel M. Dunlavy ◽  
Tamara G. Kolda ◽  
W. Philip Kegelmeyer
Keyword(s):  
Multilinear Algebra

scholarly journals New Refinement of the Operator Kantorovich Inequality

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 139
Author(s):  
Hamid Moradi ◽  
Shigeru Furuichi ◽  
Zahra Heydarbeygi
Keyword(s):  
Multilinear Algebra ◽  
Kantorovich Inequality ◽  
Linear Multilinear Algebra

We focus on the improvement of operator Kantorovich type inequalities. Among the consequences, we improve the main result of the paper [H.R. Moradi, I.H. Gümüş, Z. Heydarbeygi, A glimpse at the operator Kantorovich inequality, Linear Multilinear Algebra, doi:10.1080/03081087.2018.1441799].

Multilinear Algebra

2006 ◽  
pp. 248-305
Author(s):  
Anthony W. Knapp
Keyword(s):  
Multilinear Algebra

scholarly journals An Eigenvalue Inclusion Set for Matrices with a Constant Main Diagonal Entry

Symmetry ◽  
2018 ◽  
Vol 10 (12) ◽  
pp. 745
Author(s):  
Weiqian Zhang ◽  
Chaoqian Li
Keyword(s):  
Toeplitz Matrices ◽  
Diagonal Entry ◽  
Main Diagonal ◽  
Multilinear Algebra ◽  
Inclusion Set

A set to locate all eigenvalues for matrices with a constant main diagonal entry is given, and it is proved that this set is tighter than the well-known Geršgorin set, the Brauer set and the set proposed in (Linear and Multilinear Algebra, 60:189-199, 2012). Furthermore, by applying this result to Toeplitz matrices as a subclass of matrices with a constant main diagonal, we obtain a set including all eigenvalues of Toeplitz matrices.

Multilinear Algebra.

1969 ◽  
Vol 76 (8) ◽  
pp. 954
Author(s):  
Marvin Marcus ◽  
W. H. Greub
Keyword(s):  
Multilinear Algebra
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