Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Characteristic functions and Hamilton-Cayley theorem for left eigenvalues of quaternionic matrices - MaRDI portal

Deprecated: Use of MediaWiki\Skin\SkinTemplate::injectLegacyMenusIntoPersonalTools was deprecated in Please make sure Skin option menus contains `user-menu` (and possibly `notifications`, `user-interface-preferences`, `user-page`) 1.46. [Called from MediaWiki\Skin\SkinTemplate::getPortletsTemplateData in /var/www/html/w/includes/Skin/SkinTemplate.php at line 691] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Deprecated: Use of MediaWiki\Skin\BaseTemplate::getPersonalTools was deprecated in 1.46 Call $this->getSkin()->getPersonalToolsForMakeListItem instead (T422975). [Called from Skins\Chameleon\Components\NavbarHorizontal\PersonalTools::getHtml in /var/www/html/w/skins/chameleon/src/Components/NavbarHorizontal/PersonalTools.php at line 66] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Deprecated: Use of QuickTemplate::(get/html/text/haveData) with parameter `personal_urls` was deprecated in MediaWiki Use content_navigation instead. [Called from MediaWiki\Skin\QuickTemplate::get in /var/www/html/w/includes/Skin/QuickTemplate.php at line 131] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Characteristic functions and Hamilton-Cayley theorem for left eigenvalues of quaternionic matrices

From MaRDI portal
Publication:6502748

arXiv1005.0474MaRDI QIDQ6502748

Author name not available (Why is that?)


Abstract: We introduce the notion of characteristic function of a quaternionic matrix, whose roots are the left eigenvalues. We prove that for all 2imes2 matrices and for 3imes3 matrices having some zero entry outside the diagonal there is a characteristic function which is a polynomial. For the other 3imes3 matrices the characteristic function is a rational function with one point of discontinuity. We prove that Hamilton-Cayley theorem holds in all cases.





Mathematics Subject Classification ID

No records found.








This page was built for publication: Characteristic functions and Hamilton-Cayley theorem for left eigenvalues of quaternionic matrices

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6502748)

Retrieved from "https://mardi.schubotz.org/w/index.php?title=Publication:6502748&oldid=37962984"
Powered by MediaWiki