unable to bend or be penetrated under pressure; hard: trees so unyielding that they broke in the harsh north winds.
not apt to give way under pressure; inflexible; firm: her unyielding faith.

un-1 + yielding

unyieldingly, adverb
unyieldingness, noun
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
unyielding (ʌnˈjiːldɪŋ)
1.  not compliant, submissive, or flexible: his unyielding attitude
2.  not pliable or soft: a firm and unyielding surface

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

1592, in ref. to persons; 1658, of substances; from un- (1) "not" + yielding (see yield).
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
Early on, he developed the unyielding willpower that would eventually help to
  destroy him.
Nonetheless, they're often unyielding about matters that should be public.
The unyielding progress of technology has brought us another gadget that fully
  does away with the idea of personal privacy.
Her unyielding optimism and generosity touched all who knew her.
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