Diagonalizing triangular matrices via orthogonal Pierce decompositions

✍ Scribed by R.E. Hartwig; P. Patrício; R. Puystjens

• Book ID: 104036148
• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 211 KB
• Volume: 401
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/j.laa.2004.10.002

✦ Synopsis

A class of sufficient conditions is given to ensure that the sum a + b in a ring R, is equivalent to a sum x + y, which is an orthogonal Pierce decomposition. This is then used to show that a lower triangular matrix, with a regular diagonal is equivalent to its diagonal iff the matrix admits a lower triangular von Neumann inverse.