๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A History of the Development of Craig's Theorem

โœ Scribed by Driscoll, Michael F.; Gundberg, William R.


Book ID
126692584
Publisher
American Statistical Association
Year
1986
Tongue
English
Weight
690 KB
Volume
40
Category
Article
ISSN
0003-1305

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


A simple proof of the Craigโ€“Sakamoto the
โœ Chi-Kwong Li ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 51 KB

We give a simple proof of the CraigยฑSakamoto theorem, which asserts that two real symmetric matrices A and B satisfy detI

A determinantal proof of the Craig-Sakam
โœ Ingram Olkin ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 183 KB

The Craig-Sakamoto theorem states that if A and B are symmetric matrices, then (a) II -ctA -flBI = II -aAI II -/3BI for all a, /3 if and only if (b) AB = O. There are a number of proofs of this resttlt, the most common based on expansions of the logarithm of (a). The present proof is elementary in t