This is machine translation

Translated by Microsoft
Mouseover text to see original. Click the button below to return to the English version of the page.

Note: This page has been translated by MathWorks. Click here to see
To view all translated materials including this page, select Country from the country navigator on the bottom of this page.

rosser

Classic symmetric eigenvalue test problem

collapse all in page

Syntax

A = rosser
A = rosser(classname)

Description

example

A = rosser returns the Rosser matrix in double precision.

example

A = rosser(classname) returns the Rosser matrix with a class specified by classname. Specify classname as 'single' to return the Rosser matrix in single precision.

Examples

collapse all

Open Live Script

rosser returns the Rosser matrix. 

rosser
ans = 8×8

   611   196  -192   407    -8   -52   -49    29
   196   899   113  -192   -71   -43    -8   -44
  -192   113   899   196    61    49     8    52
   407  -192   196   611     8    44    59   -23
    -8   -71    61     8   411  -599   208   208
   -52   -43    49    44  -599   411   208   208
   -49    -8     8    59   208   208    99  -911
    29   -44    52   -23   208   208  -911    99
Open Live Script

Specify classname as single to return a Rosser matrix of that class. 

Y = rosser('single')
Y = 8x8 single matrix

   611   196  -192   407    -8   -52   -49    29
   196   899   113  -192   -71   -43    -8   -44
  -192   113   899   196    61    49     8    52
   407  -192   196   611     8    44    59   -23
    -8   -71    61     8   411  -599   208   208
   -52   -43    49    44  -599   411   208   208
   -49    -8     8    59   208   208    99  -911
    29   -44    52   -23   208   208  -911    99


whos('Y')
  Name      Size            Bytes  Class     Attributes

  Y         8x8               256  single

Input Arguments

collapse all

Input class, specified as 'double' (default) or 'single'. rosser(C) produces a matrix of the specified class.

More About

collapse all

Rosser Matrix

The Rosser matrix is a well known matrix used, for example, to evaluate eigenvalue algorithms. The matrix is 8-by-8 with integer elements. It has:

  • A double eigenvalue

  • Three nearly equal eigenvalues

  • Dominant eigenvalues of the opposite sign

  • A zero eigenvalue

  • A small, nonzero eigenvalue

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

See Also

Introduced before R2006a

MATLAB Documentation
Support
Introducing Deep Learning with MATLAB

Introducing Deep Learning with MATLAB

Download eBook