1. Concepts
   1. ColumnMatrix A Column-Oriented MTL Matrix
   2. DiagonalMatrix A Diagonally-Oriented Matrix
   3. MTL_Object_Model The MTL Object Memory Model
   4. Matrix The MTL Matrix Concept
   5. RowMatrix A Row-Oriented MTL Matrix
   6. TwoDStorage The MTL TwoD Storage Concept
   7. Vector The MTL Vector Concept
2. Container type generators
   1. band_view Band View Matrix Type Constructor
   2. block_view Block View Matrix Type Constructor
   3. matrix Matrix type generators class.
   4. symmetric_view Symmetric View Matrix Type Constructor
   5. tri_view Triangle View Creation Helper Fuctor
   6. triangle_view Triangle View Matrix Type Constructor
3. Container type selectors
4. Container classes
   1. array2D Array 2-D Container
   2. compressed1D Compressed Sparse Vector
   3. external2D External2D Storage Type
   4. external_vec External 1-D Container
   5. generic_dense2D Generic Dense 2-D Container
   6. partitioned Dense2D Storage Type
5. Container adaptors
   1. block2D Block View TwoD Storage
   2. linalg_vec Linalg Vector Adaptor
   3. scaled1D Scaled Container
   4. scaled2D Scaled 2D container adaptor
   5. sparse1D Sparse 1-D Container Adaptor
   6. strided1D Strided Vector Adaptor
6. Container functions
   1. scaled Shortcut for Creating a Scaled Argument
   2. strided Shortcut for Creating a Strided Argument
   3. blocked Blocked Matrix Generator
   4. blocked Blocked Matrix Generator
   5. rows Access the row-wise view of the matrix
   6. columns Access the column-wise view of the matrix
   7. trans Swap the orientation of a matrix.
7. Container tags
   1. column_matrix_traits Column Matrix Traits
   2. diagonal_matrix_traits Diagonal Matrix Traits
   3. linalg_traits Linear Algebra Object (Matrix and Vector) Traits
   4. matrix_traits The "traits" class for MTL matrices.
   5. not_strideable Identifies matrices that can not be used with the rows and columns functions
   6. row_matrix_traits Row Matrix Traits
   7. strideable Identifies matrices that can be used with the rows and columns functions

1. Concepts
   1. IndexedIterator IndexedIterator
2. Iterator functions
   1. trans_iter Helper function for creating a transforming iterator
3. Iterator classes
   1. compressed_iter Compressed Storage Iterator
4. Iterator adaptors
   1. dense_iterator dense iterator
   2. scale_iterator scale iterator
   3. sparse_iterator Sparse Vector Iterator
   4. strided_iterator strided iterator
   5. transform_iterator Tranforming Iterator

1. sum Sum: s <- sum_i(x(i))
2. scale Scale: A <- alpha*A or x <- alpha x
3. set_diagonal Set Diagonal: A(i,i) <- alpha
4. two_norm Two Norm: s <- sqrt(sum_i(|x(i)^2|))
5. sum_squares Sum of the Squares
6. one_norm One Norm: s <- sum(|x_i|) or s <- max_j(sum_i(|A(i,j)|))
7. infinity_norm Infinity Norm: s <- max_i(sum_j(|A(i,j)|)) or s <- max_i(|x(i)|)
8. max_index Max Index: i <- index of max(|x(i)|)
9. max_abs_index Maximum Absolute Index: i <- index of max(|x(i)|)
10. min_index Minimum Index: i <- index of min(x(i))
11. min_abs_index Minimum Absolute Index: i <- index of min(|x(i)|)
12. max Max Value: s <- max(x(i))
13. min Min Value: s <- min(x_i)
14. transpose Transpose in Place: A <- A^T
15. conj_transpose Transpose in Place: A <- A^T
16. transpose Transpose: B <- A^T
17. mult Multiplication: z <- A x + y
18. _mult Matrix Vector Multiplication: y <- A x
19. tri_solve Triangular Solve: x <- T^{-1} * x
20. tri_solve Triangular Solve: B <- A^{-1} * B or B <- B * A^{-1}
21. rank_one_update Rank One Update: A <- A + x * y^T
22. rank_one_conj Rank One Update with conj(): A <- A + x * conj(y^T)
23. rank_two_update Rank Two Update: A <- A + x * y^T + y * x^T
24. rank_two_conj Rank Two Update with conj(): A <- A + x * conj(y^T) + y * conj(x^T)
25. scatter Scatter y <- x
26. gather Gather y <- x
27. copy Copy: B <- A or y <- x
28. __add Add: z <- x + y
29. add Add: w <- x + y + z
30. add Add: B <- A + B or y <- x + y
31. ele_mult Element-wise Multiplication: z <- x O* y
32. ele_mult Element-wise Multiply: B <- A O* B
33. ele_div Element-wise Division: z <- x O/ y
34. swap Swap: B <-> A or y <-> x
35. dot Dot Product: s <- x . y + s
36. dot Dot Product: s <- x . y
37. dot Dot Product (extended precision): s <- x . y + s
38. dot_conj Dot Conjugate: s <- x . conj(y) + s
39. dot_conj Dot Conjugate: s <- x . conj(y)
40. lu_factor LU Factorization of a general (dense) matrix
41. lu_solve LU Solve
42. lu_inverse LU Inverse

1. givens_rotation Givens Plane Rotation
2. givens_rotation__2 The specialization for complex numbers.
3. givens_rotation__3 The specialization for complex numbers.
4. givens_rotation__4 The specialization for complex numbers.
5. modified_givens Modified Givens Transformation

1. Functions
   1. copy Copy
   2. transform Transform (one input iterator)
   3. transform Transform (two input iterators)
   4. fill Fill
   5. swap_ranges Swap Ranges
   6. accumulate Accumulate (with default operation)
   7. accumulate Accumulate (with user-supplied operation)
   8. inner_product Inner Product (user supplied operators)
   9. inner_product Inner Product (with default operators)
2. Classes

1. add Add y <- x + y
2. copy Copy y <- x
3. copy__2 Copy B <- A
4. dot Dot Product s <- x . y
5. mult Multiplication y <- A x + y
6. mult__2 Multiplication C <- A * B
7. rank_one Rank One Update A <- A + x * y^T
8. set Set elements of vector x to alpha
9. set__2 Set matrix A to alpha

1. Type Generators
   1. lapack_matrix Lapack Matrix
2. Functions
   1. gecon Estimate the reciprocal of the condition number of a general matrix.
   2. geev Compute the eigenvalues.
   3. geqpf QR Factorization with Column Pivoting.
   4. geqrf QR Factorization of a General Matrix
   5. gesv Solution to a linear system in a general matrix.
   6. getrf LU factorization of a general matrix A.
   7. getrs Solution to a system using LU factorization
   8. geequ Equilibrate and reduce condition number.
   9. gelqf Compute an LQ factorization.
   10. orglq Generate a matrix Q with orthonormal rows.
   11. orgqr Generate a matrix Q with orthonormal columns.

1. Concepts
   1. Indexer Maps from Matrix coordinates to TwoD coordinates
   2. Offset Maps from TwoD coordinates to linear memory
2. Functions
   1. read_dense_matlab Read a Dense Real Matrix from a Matlab file (.mat)
   2. write_dense_matlab Write a Dense Real Matrix to a Matlab file (.mat)
   3. read_sparse_matlab Read a Sparse Real Matrix from a Matlab file (.mat)
   4. write_sparse_matlab Write a Sparse Real Matrix to a Matlab file (.mat)
3. Classes
   1. banded_offset Banded Offset Class
   2. banded_view_offset Banded View Offset Class
   3. dimension The Dimension Class
   4. harwell_boeing_stream A Matrix File Input Stream for Harwell-Boeing Matrix Files
   5. matrix_market_stream A Matrix File Input Stream for Matrix Market Files
   6. packed_offset Packed Offset Class
   7. rect_offset Rectangular Offset Class
   8. strided_band_view_offset Strided Band View Offset Class
   9. strided_banded_offset Strided Banded Offset
   10. strided_offset Strided Rectangular Offset Class
   11. strided_packed_offset Strided Packed Offset Class

10. Categorized index