index.html

一个通用的数学库

  

	

	

	

  

	

	

  

	

	

  

	

	

	

	

  

	

	

  

	

	

	

	

  

	

	

  

	

	

  

	

	

  

	

	

  

	

	

  

	

	

  

	

  

	

	

	

	

	

	

	

	

	

	

	

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  <LI><A href="interval.html">interval</A>
Interval Class 


	

  

	

	

  

	

  

	

  

	

  

	

  

	

  

	

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  <LI><A href="numeric_limits.html">numeric_limits</A>
Interval Numeric Limits


	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

	

  

	

  

	

	

  

	

  

	

  

	

  

	

  

	

	

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

  

	

	

	


      </OL>

 <LI><FONT FACE=arial,helvetica SIZE=+1><B>Utilities</B></FONT>
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  <LI><A href="isnanintervalTnum.html">isnan</A> Is not a number


  <LI><A href="emptyconstintervalTnum.html">empty</A> Empty


  <LI><A href="signconstTnum.html">sign</A> Sign


  <LI><A href="leftconstintervalTnum.html">left</A> Left Constant Non-member Acessor


  <LI><A href="rightconstintervalTnum.html">right</A> Right Constant Non-member Acessor


  <LI><A href="infconstintervalTnum.html">inf</A> Infinum Constant Non-member Acessor


  <LI><A href="supconstintervalTnum.html">sup</A> Suprenum Constant Non-member Acessor


  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  <LI><A href="pos_halfconstintervalTnum.html">pos_half</A> Positive Half


  <LI><A href="neg_halfconstintervalTnum.html">neg_half</A> Negative Half


  <LI><A href="predconstintervalTnum.html">pred</A> Pred (Interval)


  <LI><A href="predconstTnum.html">pred</A> Pred (Tnum)


  <LI><A href="succconstintervalTnum.html">succ</A> Succ (Interval)


  <LI><A href="succconstTnum.html">succ</A> Succ (Tnum)


  <LI><A href="hullconstintervalTnumconstintervalTnum.html">hull</A> Hull of 2 Intervals


  <LI><A href="hullconstintervalTnumconstTnum.html">hull</A> Hull of an Interval and a Tnum


  <LI><A href="hullconstTnumconstintervalTnum.html">hull</A> Hull of a Tnum and an Interval


  <LI><A href="hullconstTnumconstTnum.html">hull</A> Hull of 2 Tnums


  <LI><A href="hullconstTnum.html">hull</A> Hull of a Tnum


  <LI><A href="sym_hullconstTnum.html">sym_hull</A> Symmetric Hull


  

  

  

  

  

  

  

  <LI><A href="intersectionconstintervalTnumconstintervalTnumbool.html">intersection</A> Intersection of 2 Intervals


  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

      </OL>

 <LI><FONT FACE=arial,helvetica SIZE=+1><B>Operators</B></FONT>
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  <LI><A href="operator==constintervalTnumconstintervalTnum.html">operator ==</A> Operator ==


  <LI><A href="operator==constintervalTnumconstTnum.html">operator ==</A> Operator ==


  <LI><A href="operator==constTnumconstintervalTnum.html">operator ==</A> Operator ==


  <LI><A href="operator!=constintervalTnumconstintervalTnum.html">operator !=</A> Operator !=


  <LI><A href="operator!=constintervalTnumconstTnum.html">operator !=</A> Operator !=


  <LI><A href="operator!=TnumconstintervalTnum.html">operator !=</A> Operator !=


  

  

  

  

  

  

  

  

  

  

  

  

  

  <LI><A href="operator=constintervalTnumconstintervalTnum.html">operator <=</A> Operator <=


  <LI><A href="operator=constTnumconstintervalTnum.html">operator <=</A> Operator <=


  <LI><A href="operatorconstintervalTnumconstintervalTnum.html">operator < </A> Operator <


  <LI><A href="operatorconstTnumconstintervalTnum.html">operator < </A> Operator <


  <LI><A href="operator=constintervalTnumconstintervalTnum.html">operator >=</A> Operator >=


  <LI><A href="operator=TnumconstintervalTnum.html">operator >=</A> Operator >=


  <LI><A href="operatorconstintervalTnumconstintervalTnum.html">operator > </A> Operator >


  <LI><A href="operatorTnumconstintervalTnum.html">operator > </A> Operator >


  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  <LI><A href="operator+constintervalTnumconstintervalTnum.html">operator + </A> Operator x+y ( x+y = [inf(x)+inf(y),sup(x)+sup(y)] )


  <LI><A href="operator+constintervalTnumconstTnum.html">operator + </A> Operator x+<i>b</i> ( x+<i>b</i> = [inf(x)+<i>b</i>,sup(x)+<i>b</i>] )


  <LI><A href="operator+constTnumconstintervalTnum.html">operator + </A> Operator <i>a</i>+x ( x = [inf(x)+<i>a</i>,sup(x)+<i>a</i>] )


  <LI><A href="operatorminusconstintervalTnumconstintervalTnum.html">operator - </A> Operator x-y ( x-y = [inf(x)-inf(y),sup(x)-sup(y)] )


  <LI><A href="operatorminusconstintervalTnumconstTnum.html">operator - </A> Operator x-<i>b</i> ( x-<i>b</i> = [inf(x)-<i>b</i>,sup(x)-<i>b</i>] )


  <LI><A href="operatorminusconstTnumconstintervalTnum.html">operator - </A> Operator <i>a</i>-y ( <i>a</i>-y = [<i>a</i>-inf(y),<i>a</i>-sup(y)] )


  

  

  

  

  <LI><A href="operatorampconstintervalTnumconstintervalTnum.html">operator & </A> Operator &


  <LI><A href="operatorconstintervalTnumconstintervalTnum.html">operator * </A> Operator *


  <LI><A href="operatorconstintervalTnumconstTnum.html">operator * </A> Operator x*y ( x*y = [inf(x)*y,sup(x)*y] )


  <LI><A href="operatorconstTnumconstintervalTnum.html">operator * </A> Operator x*y ( x*y = [x*inf(y),y*sup(y)] )


  <LI><A href="operatordivconstintervalTnumconstintervalTnum.html">operator / </A> Operator x/y


  <LI><A href="operatordivconstintervalTnumconstTnum.html">operator / </A> Operator x/<i>b</i> ( x/<i>b</i> = [inf(x)/<i>b</i>,sup(x)/<i>b</i>] )


  <LI><A href="operatordivconstTnumconstintervalTnum.html">operator / </A> Operator <i>a</i>/y 


  

  

  

  

  

  

  

  

  

      </OL>

 <LI><FONT FACE=arial,helvetica SIZE=+1><B>Math</B></FONT>
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  <LI><A href="subsetconstintervalintervalTnumconstintervalintervalTnum.html">subset</A> <A HREF="interval.html" >interval</A>-<A HREF="interval.html" >interval</A> Subset Specialization


  <LI><A href="subsetconstintervalTnumconstintervalTnum.html">subset</A> Subset (Interval in Interval)


  <LI><A href="subsetconstTnumconstintervalTnum.html">subset</A> Subset (Tnum in Interval)


  <LI><A href="proper_subsetconstintervalTnumconstintervalTnum.html">proper_subset</A> Proper Subset (Interval in Interval)


  <LI><A href="proper_subsetTnumconstintervalTnum.html">proper_subset</A> Proper Subset (Tnum in Interval)


  <LI><A href="poslteconstintervalTnumconstintervalTnum.html">poslte</A> Possibly Less Than Or Equal To


  <LI><A href="poslteconstTnumconstintervalTnum.html">poslte</A> Possibly Less Than Or Equal To


  <LI><A href="posltconstintervalTnumconstintervalTnum.html">poslt</A> Possibly Less Than


  <LI><A href="posltTnumconstintervalTnum.html">poslt</A> Possibly Less Than


  <LI><A href="posgteconstintervalTnumconstintervalTnum.html">posgte</A> Possibly Greater Than Or Equal To


  <LI><A href="posgteTnumconstintervalTnum.html">posgte</A> Possibly Greater Than Or Equal To


  <LI><A href="posgtconstintervalTnumconstintervalTnum.html">posgt</A> Possibly Greater Than 


  <LI><A href="posgtTnumconstintervalTnum.html">posgt</A> Possibly Greater Than


  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  <LI><A href="midpointconstintervalTnum.html">midpoint</A> Midpoint


  <LI><A href="bisectconstintervalTnum.html">bisect</A> Bisect an Interval


  <LI><A href="diameterconstintervalTnum.html">diameter</A> Diameter


  <LI><A href="absconstintervalTnum.html">abs</A> Absolute Value


  <LI><A href="distconstintervalTnumconstintervalTnum.html">dist</A> Distance between 2 Intervals


  <LI><A href="distconstintervalTnumconstTnum.html">dist</A> Distance between a number and an Interval


  <LI><A href="distconstTnumconstintervalTnum.html">dist</A> Distance between a number and an Interval


  

  

  

  

  

  

  

  <LI><A href="sqrtconstintervalTnum.html">sqrt</A> Square Root  ( sqrt(x) = [sqrt(inf(x)),sqrt(sup(x))] )


  <LI><A href="expconstintervalTnum.html">exp</A> Exponent ( exp(x) = [exp(inf(x),exp(sup(x))] )


  <LI><A href="logconstintervalTnum.html">log</A> Log ( log(x) = [log(inf(x)),log(sup(c))] )


  <LI><A href="lnconstintervalTnum.html">ln</A> ln ( ln(x) = [ln(inf(x)),ln(sup(c))] )


  

  

  

  

  

  

  

  <LI><A href="sqrconstintervalTnum.html">sqr</A> Square


  <LI><A href="tanconstintervalTnum.html">tan</A> Tangent ( tan(x) = [tan(inf(x)),tan(sup(x))] )


  <LI><A href="atanconstintervalTnum.html">atan</A> ArcTan ( arctan(x) = [arctan(inf(x)),arctan(sup(x))] )


  <LI><A href="sinconstintervalTnum.html">sin</A> Sine


  <LI><A href="asinconstintervalTnum.html">asin</A> ArcSin ( asin(x) = [asin(inf(x)),asin(sup(x))] )


  <LI><A href="acosconstintervalTnum.html">acos</A> ArcCos ( acos(x) = [acos(inf(x)),acos(sup(x))] )


  <LI><A href="cosconstintervalTnum.html">cos</A> Cosine


  <LI><A href="powconstintervalTnumTnum.html">pow</A> Power (<A HREF="interval.html" >interval</A>^Tnum)


  <LI><A href="powconstintervalTnum.html">pow</A> Power ( pow(x,p) = [inf(x)^inf(p),sup(x)^sup(p)] )


      </OL>
</OL>
<!--/INTERVAL-->

<A NAME="itl"></A>
<FONT FACE=arial,helvetica SIZE=+1><B>6. Iterative Template Library (ITL)</B></FONT>
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    <LI><FONT FACE=arial,helvetica SIZE=+1><B>Concepts</B></FONT>
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  <LI><A href="Iteration.html">Iteration</A>
<A HREF="Iteration.html" >Iteration</A>

  

  
  
  

  
  
  

  
  
  

  
  <LI><A href="Preconditioner.html">Preconditioner</A>
Preconitioner

  

  
  
  

  
  
  

  
  
  

      </OL>


  <LI><FONT FACE=arial,helvetica SIZE=+1><B>Algorithms</B></FONT>
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  <LI><A href="cgconstMatrixVectorXconstVectorBconstPreconditionerIteration.html">cg</A> Conjugate Gradient(CG)


  <LI><A href="cgsconstMatrixVectorconstVectorBconstPreconditionerIteration.html">cgs</A> Conjugate Gradient Squared


  <LI><A href="bicgconstMatrixVectorconstVectorBconstPreconditionerIteration.html">bicg</A> BiConjugate Gradient


  <LI><A href="gmresconstMatrixVectorconstVectorBconstPreconditionerintIter.html">gmres</A> Generalized Minimum Residual


  <LI><A href="bicgstabconstMatrixVectorconstVectorBconstPreconditionerIteration.html">bicgstab</A> BiConjugate Gradient Stabilized


  <LI><A href="qmrconstMatrixVectorconstVectorBconstPrecond1constPrecond2Iteration.html">qmr</A> Quasi-Minimal Residual


  <LI><A href="tfqmrconstMatrixVectorconstVectorBconstPrecond1constPrecond2Iteration.html">tfqmr</A> Transpose Free Quasi-Minimal Residual


  <LI><A href="gcrconstMatrixVectorconstVectorBconstPreconditionerintIteration.html">gcr</A> Generalized Conjugate Residual


  <LI><A href="chebyconstMatrixVectorconstVectorBconstPreconditionerIterationtypenameVector_value_typetypenameVector_value_type.html">cheby</A> Chebyshev <A HREF="Iteration.html" >Iteration</A>


  <LI><A href="richardsonconstMatrixVectorconstVectorBconstPreconditionerIteration.html">richardson</A> Preconditioned Richardson


  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  </OL>

  <LI><FONT FACE=arial,helvetica SIZE=+1><B>Preconditioners</B></FONT>
      <OL>


  <LI><A href="ILU.html">ILU</A>
Incomplete LU without fill-in <A HREF="Preconditioner.html" >Preconditioner</A>.




  <LI><A href="ILUT.html">ILUT</A>
<A HREF="ILUT.html" >ILUT</A>:  Incomplete LU with threshold and K fill-in <A HREF="Preconditioner.html" >Preconditioner</A>.




  <LI><A href="SSOR.html">SSOR</A>
<A HREF="SSOR.html" >SSOR</A> preconditioner.
























  



  















  







  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  <LI><A href="cholesky.html">cholesky</A>
Incomplete Cholesky <A HREF="Preconditioner.html" >Preconditioner</A>.




  



  



  



  



  



  



  



  



  



  



  



  



  



  





  



  



  



  



  



  



  



  





  



  



  



  



  



  



  



  



  



  



  



  











  







  



  



  





  



  



  



  



  



  



  



  



  



  







  





  





  









  





  









  





  





  





  





  





  





  



  

























  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  





  



  



  



  



  



  





  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  





  



  



  



  



  



  



  



  



  



  



  





  



  





  



  



  



  



  







  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  








      </OL>
</OL>


<A NAME="fast"></A>
<FONT FACE=arial,helvetica SIZE=+1><B>7. Fixed Algorithm Size Template (FAST) Library</B></FONT>
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  <LI><FONT FACE=arial,helvetica SIZE=+1><B>Functions</B></FONT>
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  <LI><A href="copyInIterOutIter.html">copy</A> Copy


  <LI><A href="transformInIterOutIterUnaryOp.html">transform</A> Transform (one input iterator)


  <LI><A href="transformInIter1InIter2OutIterBinOp.html">transform</A> Transform  (two input iterators)


  <LI><A href="fillOutputIteratorconstT.html">fill</A> Fill


  <LI><A href="swap_rangesForwardIterator1ForwardIterator2.html">swap_ranges</A> Swap Ranges


  <LI><A href="accumulateInputIteratorT.html">accumulate</A> Accumulate (with default operation)


  <LI><A href="accumulateInputIteratorTBinaryOperation.html">accumulate</A> Accumulate (with user-supplied operation)


  <LI><A href="inner_productInIter1InIter2TBinOp1BinOp2.html">inner_product</A> Inner Product (user supplied operators)


  <LI><A href="inner_productInIter1InIter2T.html">inner_product</A> Inner Product (with default operators)


  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  

  </OL>

  <LI><FONT FACE=arial,helvetica SIZE=+1><B>Classes</B></FONT>
      <OL>


  



  



  























  



  















  







  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  



  





  



  



  



  



  <LI><A href="count.html">count</A>
The static size <A HREF="count.html" >count</A> class