Since 8192 * 8192 * 4 = 256 M (integers are 4 bytes each), your matrix is using 256 MB of heap space by itself.
You can tell the JVM how much heap space should be available to your application. From running man java
and looking through the nonstandard options:
-Xmxn
Specify the maximum size, in bytes, of the memory allocation
pool. This value must a multiple of 1024 greater than 2MB.
Append the letter k or K to indicate kilobytes, or m or M to
indicate megabytes. The default value is chosen at runtime
based on system configuration. For more information, see
HotSpot Ergonomics
Examples:
-Xmx83886080
-Xmx81920k
-Xmx80m
On Solaris 7 and Solaris 8 SPARC platforms, the upper limit for
this value is approximately 4000m minus overhead amounts. On
Solaris 2.6 and x86 platforms, the upper limit is approximately
2000m minus overhead amounts. On Linux platforms, the upper limit
is approximately 2000m minus overhead amounts.
To use this option, you would start your application with a command like
java -Xmxn1024m -jar foo.jar
In Eclipse, you can add command-line options as well. This page on eclipse.org describes how to add command-line arguments to a Java program. You should add the -Xmxn1024m
(or some other sufficiently large heap specification) to the "VM arguments" section of the dialog shown on that site.