matrices of special form
The aim of the present entry is to list matrices with special properties.
Restriction on form
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block matrices^{} of either form above or of some other form
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partly decomposable matrices

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fully indecomposable matrices

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nearly decomposable matrices
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In numerical applications, sparse matrices (matrices with few nonzero entries) are important; these can be of any of the forms above.
Other restrictions
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$\mathrm{GL}(n)$: invertible matrices

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$\mathrm{SU}(n)$: unitary matrices^{} with determinant^{} $1$

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$\mathrm{O}(n)$: orthogonal matrices^{}

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$\mathrm{SO}(n)$: orthogonal matrices with determinant $1$ (http://planetmath.org/RotationMatrix)
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$\mathrm{Sp}(2n)$: symplectic matrices (also called $\mathrm{Sp}(n)$)
Special matrices

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zero matrix^{}
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magic square^{}

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Latin square^{}
Title  matrices of special form 

Canonical name  MatricesOfSpecialForm 
Date of creation  20130322 14:13:49 
Last modified on  20130322 14:13:49 
Owner  matte (1858) 
Last modified by  matte (1858) 
Numerical id  15 
Author  matte (1858) 
Entry type  Definition 
Classification  msc 1500 