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"Most complete" might involve multiple compromises, including spending a lot more money; e.g. on NAG, or on the IMSL bundled version of Intel Fortran.
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Why don't you see if MKL meets your needs? If it doesn't, then you can look at NAG and IMSL to see if they might better do what you want.
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Not sure if you'll need it, but if youd like a more hands on approach and understanding, I recommend looking at Numerical Recipes in Fortran, Fortran 90 and C++. (www.nr.com) All Code is included, and the books provide entertaining and enlightening text. I think theyve done a great job with it! (it's been around for a while)
Some purists find issues with some of the work (Numerics for Dummies?). Always grumps in the group, however I have enjoyed chuckles while getting refreshed and/or up to speed on a variety of mathematical topics). Also provides a plethora of references. Note: some grumps will also mention issues on licensing for commercial products. But if used to better understand solution procedures, for research, and to simply code to accomplishsolutions...
brian
and no, i have no association with NR or any of the authors, etc. Just have always enjoyed it as a reference/code source.
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Intel sells a bundle consisting of the compiler plus IMSL 6 for (I think) $1699. We do not sell IMSL separately. (And at the moment, we do not have a bundle of IMSL with the Fortran 2011 compiler, but that is coming.) You can buy IMSL separately (version 7 now) from Visual Numerics/Rogue Wave. I don't know what they charge as they didn't, last I looked, advertise prices on their web site. Neither does NAG. I believe the prices are well north of $1000 but you'll have to contact their sales office to be sure.
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This information is easily obtained in the NAG online pages. They list the versions organized by OS, compiler bitness and compiler version.
Typically, their libraries are compiled by a version of the Intel compiler that is about a year older than the current one.
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