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*adapt Householder to the convention that we now favor refs over ptrs for output. Keep "workspace" as pointer because it is an array (which is now more obvious).
*rename makeHouseholderSequence to householderSequence, because that's what it returns.
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@@ -50,7 +50,7 @@ template<typename MatrixType> void householder(const MatrixType& m)
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VectorType v1 = VectorType::Random(rows), v2;
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v2 = v1;
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v1.makeHouseholder(&essential, &beta, &alpha);
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v1.makeHouseholder(essential, beta, alpha);
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v1.applyHouseholderOnTheLeft(essential,beta,tmp);
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VERIFY_IS_APPROX(v1.norm(), v2.norm());
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VERIFY_IS_MUCH_SMALLER_THAN(v1.end(rows-1).norm(), v1.norm());
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@@ -66,7 +66,7 @@ template<typename MatrixType> void householder(const MatrixType& m)
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if(even) v1.end(rows-1).setZero();
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m1.colwise() = v1;
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m2 = m1;
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m1.col(0).makeHouseholder(&essential, &beta, &alpha);
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m1.col(0).makeHouseholder(essential, beta, alpha);
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m1.applyHouseholderOnTheLeft(essential,beta,tmp);
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VERIFY_IS_APPROX(m1.norm(), m2.norm());
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VERIFY_IS_MUCH_SMALLER_THAN(m1.block(1,0,rows-1,cols).norm(), m1.norm());
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@@ -78,7 +78,7 @@ template<typename MatrixType> void householder(const MatrixType& m)
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SquareMatrixType m3(rows,rows), m4(rows,rows);
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m3.rowwise() = v1.transpose();
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m4 = m3;
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m3.row(0).makeHouseholder(&essential, &beta, &alpha);
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m3.row(0).makeHouseholder(essential, beta, alpha);
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m3.applyHouseholderOnTheRight(essential,beta,tmp);
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VERIFY_IS_APPROX(m3.norm(), m4.norm());
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VERIFY_IS_MUCH_SMALLER_THAN(m3.block(0,1,rows,rows-1).norm(), m3.norm());
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