my computer freezes up everytime I restart it

yes, freezes that I can't do cntrl-alt-del, i can't move the mouse, no flashing light, no spinning on the restarting.

After I hold the power button for 10 seconds, the PC shuts down.  Then I power it back on, and there's no error message or asking me if I want to go into recovery or anything like that, it seems to boot normally.

Hmm, try when booted look at the devices and see if there is a update.  

Is this a recent systemic older model I.e. The OS finishes the
What happens if you shutdown, then power up?

Presumably you waited a bit before giving up on the restart, 5 -10 minutes?
Realize, thatittakes with ssd 10-15 seconds to boot patience might be running thin on waiting to restart.

The computer is brand new, well, about a month old.
It's a fairly beefy workstation, it's a dell workstation 58xx.
It has a Intel Xeon 6c processor, 3.5 ghz, 32 gb ECC ram, 500 gb Samsung evo with nand technology SSD HD, and and AMD 2 GB video card.

The hardware should be more then plenty to run Windows 10.
About 2 weeks ago, I downloaded the newest video card driver, so that's up to date.

I'll try some of the suggestions mentioned and get back to everyone in a few hours.

So I ran the sfc /scannow and it found corrupt files.

"windows resource protection found corrupt files but was unable to fix some of them"

Is there a command to force windows to fix them?

Restart do a system restore

I do not have any system restores, I deleted all the system restores because they were taking up a lot of space.

Is there no other command to fix the corrupted files?

I meant from the boot options

see this shows you how

http://www.tenforums.com/tutorials/2294-advanced-startup-options-boot-windows-10-a.htm

HTH

all windows updates installed successfully

Thanks everyone for your input, I did a chkdsk /x /f /r
Then rebooted, and then shutdown and after that, it seems to have fixed it, as I did a restart twice, and it did NOT freeze up.

Thanks guys.

Glad you have it working