A method for computing the Perron root for primitive matrices

Doulaye Dembélé

doi:10.1002/nla.2340

A method for computing the Perron root for primitive matrices

Numerical Linear Algebra with Applications ◽

10.1002/nla.2340 ◽

2020 ◽

Vol 28 (1) ◽

Author(s):

Doulaye Dembélé

Keyword(s):

Perron Root

Download Full-text

A modified algorithm for the Perron root of a nonnegative matrix

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.10.048 ◽

2011 ◽

Vol 217 (9) ◽

pp. 4453-4458 ◽

Cited By ~ 1

Author(s):

Chengming Wen ◽

Ting-Zhu Huang

Keyword(s):

Nonnegative Matrix ◽

Perron Root ◽

Modified Algorithm

Download Full-text

Bounds and inequalities for the Perron root of a nonnegative matrix. II. Circuit bounds and inequalities

Journal of Mathematical Sciences ◽

10.1007/s10958-005-0157-4 ◽

2005 ◽

Vol 127 (3) ◽

pp. 1988-2005 ◽

Cited By ~ 1

Author(s):

L. Yu. Kolotilina

Keyword(s):

Nonnegative Matrix ◽

Perron Root

Download Full-text

A modified algorithm for the Perron root of a nonnegative matrix with centrosymmetric structure

2011 IEEE 3rd International Conference on Communication Software and Networks ◽

10.1109/iccsn.2011.6013806 ◽

2011 ◽

Author(s):

Di Zhao ◽

Hongyi Li

Keyword(s):

Nonnegative Matrix ◽

Perron Root ◽

Centrosymmetric Structure ◽

Modified Algorithm

Download Full-text

A sequence of upper bounds for the Perron root of a nonnegative matrix

Linear Algebra and its Applications ◽

10.1016/s0024-3795(97)00337-6 ◽

1998 ◽

Vol 273 (1-3) ◽

pp. 23-28 ◽

Cited By ~ 6

Author(s):

Dursun Taşçi ◽

Steve Kirkland

Keyword(s):

Nonnegative Matrix ◽

Upper Bounds ◽

Perron Root

Download Full-text

Nested bounds for the Perron root of a nonnegative matrix

Linear Algebra and its Applications ◽

10.1016/0024-3795(83)90016-2 ◽

1983 ◽

Vol 52-53 (1) ◽

pp. 235-251

Author(s):

E Deutsch

Keyword(s):

Nonnegative Matrix ◽

Perron Root

Download Full-text

Chapter 1: On the Perron Root of Irreducible Matrices

Resource Allocation in Wireless Networks - Lecture Notes in Computer Science ◽

10.1007/11818762_1 ◽

2006 ◽

pp. 3-49

Author(s):

Sławomir Stańczak ◽

Marcin Wiczanowski ◽

Holger Boche

Keyword(s):

Perron Root

Download Full-text

Submatrix monotonicity of the Perron root, II

Linear Algebra and its Applications ◽

10.1016/j.laa.2014.06.047 ◽

2014 ◽

Vol 458 ◽

pp. 679-688 ◽

Cited By ~ 1

Author(s):

Susana Furtado ◽

C.R. Johnson ◽

C. Marijuán ◽

M. Pisonero

Keyword(s):

Perron Root

Download Full-text

Bounds and inequalities for the Perron root of a nonnegative matrix. III. Bounds dependent on simple paths and circuits

Journal of Mathematical Sciences ◽

10.1007/s10958-006-0279-3 ◽

2006 ◽

Vol 137 (3) ◽

pp. 4801-4814 ◽

Cited By ~ 1

Author(s):

L. Yu. Kolotilina

Keyword(s):

Nonnegative Matrix ◽

Perron Root ◽

Simple Paths

Download Full-text

Derivatives of the Perron root of a positive reciprocal matrix: With application to the analytic hierarchy process

Applied Mathematics and Computation ◽

10.1016/0096-3003(87)90043-9 ◽

1987 ◽

Vol 22 (2-3) ◽

pp. 217-232 ◽

Cited By ~ 50

Author(s):

Patrick T. Harker

Keyword(s):

Analytic Hierarchy Process ◽

Analytic Hierarchy ◽

Perron Root ◽

The Analytic Hierarchy Process ◽

Reciprocal Matrix ◽

Hierarchy Process ◽

Derivatives Of

Download Full-text

The lower and upper bounds on Perron root of nonnegative irreducible matrices

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2007.06.034 ◽

2008 ◽

Vol 217 (1) ◽

pp. 259-267 ◽

Cited By ~ 2

Author(s):

Guang-Xin Huang ◽

Feng Yin ◽

Ke Guo

Keyword(s):

Upper Bounds ◽

Lower And Upper Bounds ◽

Perron Root

Download Full-text