Volume 11, Issue 4 Toshiyuki Takasaki Basic indexes and Aluthge transformation for 2 by 2 matrices Downloads Abstract PDF Full article PDF DOI { copied = true; setTimeout(() => copied = false, 2000) })" :aria-label="copied ? 'DOI copied' : 'Copy DOI'" :title="copied ? 'Copied' : 'Copy DOI'" > Find all available articles from these authors Toshiyuki Takasaki Find more articles with the same keywords Aluthge transformation polar decompositions singular decompositions singular values Find more articles with the same subject classes 15A60 15A18