Triangular truncation and finding the norm of a Hadamard multiplier

James R. Angelos, Carl C. Cowen, Sivaram K. Narayan

Research output: Contribution to journalArticlepeer-review


For B a fixed matrix, we study the problem of using a criterion of Haagerup to find the norm of the map A {mapping} A · B, where · is the Hadamard or entrywise product of matrices. The techniques developed are applied to triangular truncation, and it is proved that if Kn is the norm of triangular truncation of n×n matrices, then Kn logn→π-1.

Original languageEnglish
Pages (from-to)117-135
Number of pages19
JournalLinear Algebra and Its Applications
Issue numberC
StatePublished - Jun 1992


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