Bidiagonal

``````..  Bidiagonal(dv, ev, isupper)

Constructs an upper (``isupper=true``) or lower (``isupper=false``) bidiagonal matrix
using the given diagonal (``dv``) and off-diagonal (``ev``) vectors.  The result is of type ``Bidiagonal`` and provides efficient specialized linear solvers, but may be converted into a regular matrix with :func:`full`.``````

Examples

``````"""
Bidiagonal(dv, ev, isupper)

Constructs an upper (`isupper=true`) or lower (`isupper=false`) bidiagonal matrix using the given diagonal (`dv`) and off-diagonal (`ev`) vectors. The result is of type `Bidiagonal` and provides efficient specialized linear solvers but may be converted into a regular matrix with `full`.
"""

# Example 1: Construct an upper bidiagonal matrix
julia> dv = [1, 2, 3]
julia> ev = [4, 5, 6]
julia> isupper = true
julia> b = Bidiagonal(dv, ev, isupper)
3×3 Bidiagonal{Int64,Array{Int64,1}}:
1  4  ⋅
⋅  2  5
⋅  ⋅  3

# Example 2: Construct a lower bidiagonal matrix
julia> dv = [1, 2, 3]
julia> ev = [4, 5, 6]
julia> isupper = false
julia> b = Bidiagonal(dv, ev, isupper)
3×3 Bidiagonal{Int64,Array{Int64,1}}:
1  ⋅  ⋅
4  2  ⋅
⋅  5  3

# Example 3: Convert Bidiagonal matrix to a full matrix
julia> full(b)
3×3 Array{Int64,2}:
1  0  0
4  2  0
0  5  3``````

This function constructs a bidiagonal matrix using the given diagonal (`dv`) and off-diagonal (`ev`) vectors. The `isupper` argument determines whether the matrix is upper or lower bidiagonal. The resulting matrix can be used for efficient specialized linear solvers. If needed, the `Bidiagonal` matrix can be converted into a regular matrix using the `full` function.

Ac_ldiv_B, Ac_ldiv_Bc, Ac_mul_B, Ac_mul_Bc, Ac_rdiv_B, Ac_rdiv_Bc, At_ldiv_B, At_ldiv_Bt, At_mul_B, At_mul_Bt, At_rdiv_B, At_rdiv_Bt, A_ldiv_Bc, A_ldiv_Bt, A_mul_B!, A_mul_Bc, A_mul_Bt, A_rdiv_Bc, A_rdiv_Bt, Bidiagonal, cond, conv2, det, diag, diagind, diagm, diff, eig, eigvals, eigvecs, expm, eye, full, inv, isdiag, ishermitian, isposdef, isposdef!, issym, istril, istriu, logabsdet, logdet, lyap, norm, qrfact, rank, repmat, rot180, rotl90, rotr90, sortrows, sqrtm, SymTridiagonal, trace, Tridiagonal, tril, tril!, triu, triu!, writedlm,

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