Weightedl1norms for matrices

Autor: Moshe Goldberg, Richard Arens
Rok vydání: 1996
Předmět:
Zdroj: Linear and Multilinear Algebra. 40:229-234
ISSN: 1563-5139
0308-1087
DOI: 10.1080/03081089608818440
Popis: Let W =(Wij ) be a fixed m × n weight matrix, and let the W-weighied l1 , norm on Cm×n be defined by Given weight matrices U,V,W, of orders m × r r × n and m × n, respectively, we begin by proving that a constant μ > 0 satisfies In the second part of this note we restrict attention to a single weighted l1 norm on C n×n ,and show that We conclude that may be quadrative without being multiplicative on C n×n .
Databáze: OpenAIRE