𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Orthogonality of matrices

✍ Scribed by Carlos Benítez; Manuel Fernández; María L. Soriano

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
239 KB
Volume
422
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

-Orthogonal matrices
-Orthogonal matrices
✍ Ma. Nerissa M. Abara; Dennis I. Merino; Agnes T. Paras 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 231 KB

Let S ∈ M n (R) be such that S 2 = I or S 2 = -I. is unitary, and both factors are φ S -orthogonal. We show that if A is φ Sorthogonal and normal, and if -1 is not an eigenvalue of A, then there exists a normal φ S -skew symmetric N (that is, φ S (N) = -N) such that A = e iN . We also take a look a

Orthogonality of matrices and some dista
Orthogonality of matrices and some distance problems
✍ Rajendra Bhatia; Peter Šemrl 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 348 KB

If A and B are matrices such that IIA + zBII ~ IIA II for all complex numbers z, then A is said to be orthogonal to B. We find necessary and sufficient conditions for this to be the case. Some applications and generalisations are also discussed.

Sparse orthogonal matrices
Sparse orthogonal matrices
✍ Gi-Sang Cheon; Suk-Geun Hwang; Seog-Hoon Rim; Bryan L. Shader; Seok-Zun Song 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 115 KB

The minimum number of nonzero entries in an n by n orthogonal matrix which has a column of nonzeros is known to be In this note the sparsity of orthogonal matrices which have both a column and a row of nonzeros is studied. For each integer n 2 we construct an n by n orthogonal matrix which has both