eigenvalue problem

[Jim Van Zandt]

The 2x2 eigenvalue problem works here on an SGI:

$ octave
Octave, version 2.0.13 (mips-sgi-irix6.2).
Copyright (C) 1996, 1997, 1998 John W. Eaton.
This is free software with ABSOLUTELY NO WARRANTY.
For details, type `warranty'.

octave.bin:1> a=[0.146959990262985 + 0.629222273826599i
0.230261743068695 + 0.476699143648148i;0.718937337398529 +
0.628816068172455i  0.556593239307404 + 0.506069242954254i]
a =

  0.14696 + 0.62922i  0.23026 + 0.47670i
  0.71894 + 0.62882i  0.55659 + 0.50607i

octave.bin:2> output_precision=15
output_precision = 15
octave.bin:3> [v,d]=eig(a)
v =

 Column 1:

  -6.36918842982964e-01 + 5.27282178896957e-02i
   7.69125557039564e-01 + 0.00000000000000e+00i

 Column 2:

   4.90973183466844e-01 + 2.58597567084448e-01i
   8.31909028328481e-01 + 0.00000000000000e+00i

d =

 Column 1:

  -8.18735016216097e-02 + 3.46292879360161e-02i
   0.00000000000000e+00 + 0.00000000000000e+00i

 Column 2:

   0.00000000000000e+00 + 0.00000000000000e+00i
   7.85426731191999e-01 + 1.10066222884484e+00i

The configuration is indicated by the following excerpt from octave-bug.

                        - Jim Van Zandt

config_opts="--enable-shared --enable-lite-kernel"
VERSION="2.0.13"
MACHINE="mips-sgi-irix6.2"
F77="g77"
FFLAGS="-O"
FPICFLAG=""
FLIBS="-L/usr/lib32/mips3 -L/usr/lib32
-L/usr/local/lib/gcc-lib/mips-sgi-irix6.2/egcs-2.90.27
-L/usr/local/mips-sgi-irix6.2/lib -L/usr/local/lib -lf2c -lm"
F2C=""
F2CFLAGS=""
CPPFLAGS=""
INCFLAGS="-I/usr/local/include -I/usr/local/include/octave-2.0.13"
CC="gcc"
CC_VERSION="2.90.27 980315 (egcs-1.0.2 release)"
CFLAGS="-DHAVE_CONFIG_H  -O"
CPICFLAG=""
CXX="c++"
CXX_VERSION="2.90.27 980315 (egcs-1.0.2 release)"
CXXFLAGS="-DHAVE_CONFIG_H -fno-rtti -fno-exceptions
-fno-implicit-templates -O"
CXXPICFLAG=""
LDFLAGS="-g"
LIBFLAGS="-L/usr/local/lib/octave-2.0.13"
RLD_FLAG="-L/usr/local/lib/octave-2.0.13"
TERMLIBS="-lcurses"
DEFS="-DOCTAVE_SOURCE=1 -DSEPCHAR=':' -DSEPCHAR_STR=\":\"
-DUSE_READLINE=1 -DCXX_NEW_FRIEND_TEMPLATE_DECL=1
-DF77_APPEND_UNDERSCORE=1 -DOCTAVE_LITE=1 -DHAVE_LIBSUN=1
-DHAVE_LIBSOCKET=1 -DSIZEOF_SHORT=2 -DSIZEOF_INT=4 -DSIZEOF_LONG=4
-DHAVE_ALLOCA_H=1 -DHAVE_ALLOCA=1 -DNPOS=string::npos -DSTDC_HEADERS=1
-DHAVE_DIRENT_H=1 -DTIME_WITH_SYS_TIME=1 -DHAVE_SYS_WAIT_H=1
-DHAVE_ASSERT_H=1 -DHAVE_CURSES_H=1 -DHAVE_DLFCN_H=1 -DHAVE_FCNTL_H=1
-DHAVE_FLOAT_H=1 -DHAVE_FNMATCH_H=1 -DHAVE_GLOB_H=1 -DHAVE_GRP_H=1
-DHAVE_IEEEFP_H=1 -DHAVE_LIMITS_H=1 -DHAVE_MEMORY_H=1 -DHAVE_NAN_H=1
-DHAVE_PWD_H=1 -DHAVE_SGTTY_H=1 -DHAVE_STDLIB_H=1 -DHAVE_STRING_H=1
-DHAVE_SYS_PARAM_H=1 -DHAVE_SYS_RESOURCE_H=1 -DHAVE_SYS_SELECT_H=1
-DHAVE_SYS_STAT_H=1 -DHAVE_SYS_TIME_H=1 -DHAVE_SYS_TIMES_H=1
-DHAVE_SYS_TYPES_H=1 -DHAVE_SYS_UTSNAME_H=1 -DHAVE_TERMIO_H=1
-DHAVE_TERMIOS_H=1 -DHAVE_UNISTD_H=1 -DHAVE_VARARGS_H=1
-DHAVE_FNMATCH=1 -DHAVE_GLOB=1 -DHAVE_ATEXIT=1 -DHAVE_BCOPY=1
-DHAVE_BZERO=1 -DHAVE_DUP2=1 -DHAVE_ENDGRENT=1 -DHAVE_ENDPWENT=1
-DHAVE_EXECVP=1 -DHAVE_FCNTL=1 -DHAVE_FORK=1 -DHAVE_GETCWD=1
-DHAVE_GETEGID=1 -DHAVE_GETEUID=1 -DHAVE_GETGID=1 -DHAVE_GETGRENT=1
-DHAVE_GETGRGID=1 -DHAVE_GETGRNAM=1 -DHAVE_GETHOSTNAME=1
-DHAVE_GETPGRP=1 -DHAVE_GETPID=1 -DHAVE_GETPPID=1 -DHAVE_GETPWENT=1
-DHAVE_GETPWNAM=1 -DHAVE_GETPWUID=1 -DHAVE_GETTIMEOFDAY=1
-DHAVE_GETUID=1 -DHAVE_GETWD=1 -DHAVE_LSTAT=1 -DHAVE_MEMMOVE=1
-DHAVE_MKDIR=1 -DHAVE_MKFIFO=1 -DHAVE_PIPE=1 -DHAVE_PUTENV=1
-DHAVE_RENAME=1 -DHAVE_RINDEX=1 -DHAVE_RMDIR=1 -DHAVE_SETGRENT=1
-DHAVE_SETPWENT=1 -DHAVE_SETVBUF=1 -DHAVE_SIGACTION=1
-DHAVE_SIGPENDING=1 -DHAVE_SIGPROCMASK=1 -DHAVE_SIGSUSPEND=1
-DHAVE_STAT=1 -DHAVE_STRCASECMP=1 -DHAVE_STRDUP=1 -DHAVE_STRERROR=1
-DHAVE_STRNCASECMP=1 -DHAVE_TEMPNAM=1 -DHAVE_UMASK=1 -DHAVE_UNLINK=1
-DHAVE_USLEEP=1 -DHAVE_VFPRINTF=1 -DHAVE_VSPRINTF=1 -DHAVE_WAITPID=1
-DHAVE_LIBDL=1 -DHAVE_DLOPEN=1 -DHAVE_DLSYM=1 -DHAVE_DLERROR=1
-DHAVE_DLCLOSE=1 -DWITH_DL=1 -DWITH_DYNAMIC_LINKING=1 -DHAVE_LIBM=1
-DHAVE_FINITE=1 -DHAVE_ISNAN=1 -DHAVE_ACOSH=1 -DHAVE_ASINH=1
-DHAVE_ATANH=1 -DHAVE_ERF=1 -DHAVE_ERFC=1 -DHAVE_ST_BLKSIZE=1
-DHAVE_ST_BLOCKS=1 -DHAVE_ST_RDEV=1 -DHAVE_TZNAME=1 -DHAVE_GR_PASSWD=1
-DEXCEPTION_IN_MATH=1 -DRETSIGTYPE=void -DHAVE_SYS_SIGLIST=1
-DHAVE_POSIX_SIGNALS=1 -DHAVE_GETRUSAGE=1 -DHAVE_TIMES=1
-DGNUPLOT_HAS_MULTIPLOT=1 -DGNUPLOT_HAS_FRAMES=1"