Locally compatible generalized matrix norms

1976 ◽  
Vol 27 (4) ◽  
pp. 391-394 ◽  
Author(s):  
Charles R. Johnson
Keyword(s):  
Generalized Matrix ◽  
Matrix Norms

Unitarily invariant generalized matrix norms and hadamard products

1984 ◽  
Vol 16 (1-4) ◽  
pp. 197-213 ◽  
Author(s):  
Marvin Marcus ◽  
Kent Kidman ◽  
Markus Sandy
Keyword(s):  
Hadamard Products ◽  
Generalized Matrix ◽  
Matrix Norms

scholarly journals On certain generalized matrix norms

1980 ◽  
Vol 29 ◽  
pp. 113-129
Author(s):  
Emeric Deutsch
Keyword(s):  
Generalized Matrix ◽  
Matrix Norms

A generalized matrix-fracture flow transfer model for fractured porous media

2021 ◽  
Author(s):  
Zhechao wang ◽  
Jiafan guo ◽  
Zhejun pan ◽  
Liping qiao ◽  
Jie liu ◽  
...  
Keyword(s):  
Porous Media ◽  
Fractured Porous Media ◽  
Transfer Model ◽  
Fracture Flow ◽  
Matrix Fracture ◽  
Generalized Matrix ◽  
Flow Transfer

Iterative criterion of the descriptor system asymptotic steadiness

2020 ◽  
Keyword(s):  
Iterative Algorithm ◽  
Search Algorithm ◽  
Descriptor System ◽  
Matrix Sign Function ◽  
Sign Function ◽  
Generalized Matrix ◽  
Criterion Matrix

An iterative criterion for the asymptotic steadiness of a linear descriptor system is considered. The criterion is based on an iterative algorithm for computing a generalized matrix sign-function. As an example, the problem of analyzing the asymptotic steadiness of a large descriptor system is given. Keywords linear descriptor system; steadiness criterion; matrix sign-function; search algorithm

scholarly journals Research on the Influence of Energy Utilization and Economic Development on Human Well-Being in Qinghai-Tibet Plateau

2020 ◽  
Vol 13 (1) ◽  
pp. 196
Author(s):  
Mengmeng Meng ◽  
Weiguo Fan ◽  
Jianchang Lu ◽  
Xiaobin Dong ◽  
Hejie Wei
Keyword(s):  
Economic Development ◽  
Well Being ◽  
Resource Acquisition ◽  
Energy Utilization ◽  
Western China ◽  
Tibet Plateau ◽  
Four Dimensions ◽  
Generalized Matrix ◽  
Qinghai Tibet Plateau ◽  
Means Of Production

Qinghai-Tibet Plateau is a typical resource-rich but economically backward region in western China, and it is of great urgency to improve human well-being. Combined with previous scholars’ research and the characteristics of Qinghai-Tibet Plateau, this paper constructs an index system of human well-being including four dimensions: income and consumption, means of production, means of subsistence, and resource acquisition ability. Then, it uses generalized matrix method estimations to measure the influence of energy utilization and economic development on human well-being and makes a regression analysis on the influence of energy utilization and economic development on human well-being in various provinces in this region. It is found that per capita GDP and coke utilization promote the well-being of all dimensions, while the urban registered unemployment rate only promotes the well-being of means of subsistence. The utilization of gasoline and natural gas promotes income and consumption and inhibits the means of subsistence and resource acquisition ability, but they have opposite effects on means of production. The impacts of energy utilization and economic development in different provinces on human well-being are different. This study is of great significance to the related research aiming at improving people’s livelihood and promoting regional development.

scholarly journals The Global Convergence of the Nonlinear Power Method for Mixed-Subordinate Matrix Norms

2021 ◽  
Vol 88 (1) ◽  
Author(s):  
Antoine Gautier ◽  
Matthias Hein ◽  
Francesco Tudisco
Keyword(s):  
Global Convergence ◽  
Convergence Theorem ◽  
Matrix Norm ◽  
Nonnegative Matrices ◽  
Np Hard ◽  
Power Method ◽  
Contraction Ratio ◽  
Matrix Norms ◽  
Vector Norms

AbstractWe analyze the global convergence of the power iterates for the computation of a general mixed-subordinate matrix norm. We prove a new global convergence theorem for a class of entrywise nonnegative matrices that generalizes and improves a well-known results for mixed-subordinate $$\ell ^p$$ ℓ p matrix norms. In particular, exploiting the Birkoff–Hopf contraction ratio of nonnegative matrices, we obtain novel and explicit global convergence guarantees for a range of matrix norms whose computation has been recently proven to be NP-hard in the general case, including the case of mixed-subordinate norms induced by the vector norms made by the sum of different $$\ell ^p$$ ℓ p -norms of subsets of entries.

On certain classes of matrix norms

1983 ◽  
Vol 14 (4) ◽  
pp. 357-363
Author(s):  
Massoud Malek-Shahmirzadi ◽  
Kunio Oshima
Keyword(s):  
Matrix Norms
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