A method for least squares solution of systems with a cyclic rectangular coefficient matrix

✍ Scribed by R. De Meersman

• Publisher: Elsevier Science
• Year: 1975
• Tongue: English
• Weight: 331 KB
• Volume: 1
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/0771-050x(75)90008-x

✦ Synopsis

An orthogonalization procedure is given for a sequence of vectors having the special feature that consecutive vectors are related by ak+l= Pa k, (k = 1, 2, 3, ...), where P is a unitary operator. This orthogonalization procedure is applied to the least squares solution of linear equations with a cyclic rectangular coefficient matrix. Furthermore, it is shown how the pseudoinverse of such matrices can be obtained.