Sarkuzi Posted March 22, 2015 Share Posted March 22, 2015 Hi, What are ultra-, super-, and sub-diagonal matrices? Thanks Silvia Link to comment Share on other sites More sharing options...
Bignose Posted March 22, 2015 Share Posted March 22, 2015 The only Google results on it is you asking this question. So you probably should give us some context to actually help you answer your question. That is, cite the work where the terms are used, please. Link to comment Share on other sites More sharing options...
Unity+ Posted March 22, 2015 Share Posted March 22, 2015 The only seemingly relevant concept that was on Google was super matrices. http://en.wikipedia.org/wiki/Supermatrix Link to comment Share on other sites More sharing options...
John Cuthber Posted March 22, 2015 Share Posted March 22, 2015 This seems close, but it's not the matrix itself that's subdiagonal. http://en.wikipedia.org/wiki/Diagonal#Matrices I guess the bottom left 4 elements of a 5 by 5 matrix could be described as a subdiagonal matrix, but I'm not sure the term would be useful. Link to comment Share on other sites More sharing options...
studiot Posted March 22, 2015 Share Posted March 22, 2015 (edited) My guess would be that the OP is referring to a band matrix where there are terms one or both sides of the main diagonal so the 'diagonal' is more than one term wide. Such matrices are obtained in the solution of certain engineering problems by numerical methods. http://en.wikipedia.org/wiki/Band_matrix https://www.google.co.uk/search?hl=en-GB&source=hp&q=bnaded+matrix&gbv=2&oq=bnaded+matrix&gs_l=heirloom-hp.3..0i13l7j0i13i30l3.1407.3922.0.4079.13.13.0.0.0.0.218.1673.1j11j1.13.0.msedr...0...1ac.1.34.heirloom-hp..0.13.1673.If1_caZx51c Edited March 22, 2015 by studiot Link to comment Share on other sites More sharing options...
Bignose Posted March 22, 2015 Share Posted March 22, 2015 My guess would be that the OP is referring to a band matrix where there are terms one or both sides of the main diagonal so the 'diagonal' is more than one term wide. Such matrices are obtained in the solution of certain engineering problems by numerical methods. http://en.wikipedia.org/wiki/Band_matrix https://www.google.co.uk/search?hl=en-GB&source=hp&q=bnaded+matrix&gbv=2&oq=bnaded+matrix&gs_l=heirloom-hp.3..0i13l7j0i13i30l3.1407.3922.0.4079.13.13.0.0.0.0.218.1673.1j11j1.13.0.msedr...0...1ac.1.34.heirloom-hp..0.13.1673.If1_caZx51c Sure. I've done a ton of these numerical methods, and I agree the nomenclature is close, but not exactly what the OP was asking. That's why hopefully he comes back with some context. Link to comment Share on other sites More sharing options...
ajb Posted March 23, 2015 Share Posted March 23, 2015 (edited) http://mathworld.wolfram.com/Superdiagonal.html http://mathworld.wolfram.com/Subdiagonal.html http://mathworld.wolfram.com/JordanBlock.html Ultradiagonal I could not find. The only seemingly relevant concept that was on Google was super matrices. http://en.wikipedia.org/wiki/Supermatrix I do not think super matrices are what Sarkuzi has in mind here. Superdiagonal I think notion they are looking for. (No idea why though) Edited March 23, 2015 by ajb Link to comment Share on other sites More sharing options...
Recommended Posts
Create an account or sign in to comment
You need to be a member in order to leave a comment
Create an account
Sign up for a new account in our community. It's easy!
Register a new accountSign in
Already have an account? Sign in here.
Sign In Now