Matrix: VDOL/kineticBatchReactor_1

Description: kineticBatchReactor optimal control problem (matrix 1 of 9)

 (undirected graph drawing)

• Matrix group: VDOL
• download as a MATLAB mat-file, file size: 193 KB. Use UFget(2696) or UFget('VDOL/kineticBatchReactor_1') in MATLAB.

 Matrix properties number of rows 2,052 number of columns 2,052 nonzeros 20,600 structural full rank? yes structural rank 2,052 # of blocks from dmperm 11 # strongly connected comp. 3 explicit zero entries 0 nonzero pattern symmetry symmetric numeric value symmetry symmetric type real structure symmetric Cholesky candidate? no positive definite? no

 author B. Senses, A. Rao editor T. Davis date 2015 kind optimal control problem 2D/3D problem? no

 Additional fields size and type b full 2052-by-1 rowname full 2052-by-100 mapping full 2052-by-1

Notes:

```Optimal control problem, Vehicle Dynamics & Optimization Lab, UF
Anil Rao and Begum Senses, University of Florida
http://vdol.mae.ufl.edu

This matrix arises from an optimal control problem described below.
Each optimal control problem gives rise to a sequence of matrices of
different sizes when they are being solved inside GPOPS, an optimal
control solver created by Anil Rao, Begum Senses, and others at in VDOL
lab at the University of Florida.  This is one of the matrices in one
of these problems.  The matrix is symmetric indefinite.

Rao, Senses, and Davis have created a graph coarsening strategy
that matches pairs of nodes.  The mapping is given for this matrix,
where map(i)=k means that node i in the original graph is mapped to
node k in the smaller graph.  map(i)=map(j)=k means that both nodes
i and j are mapped to the same node k, and thus nodes i and j have
been merged.

This matrix consists of a set of nodes (rows/columns) and the
names of these rows/cols are given

Anil Rao, Begum Sense, and Tim Davis, 2015.

VDOL/kineticBatchReactor
```

 Ordering statistics: result nnz(chol(P*(A+A'+s*I)*P')) with AMD 27,912 Cholesky flop count 5.2e+05 nnz(L+U), no partial pivoting, with AMD 53,772 nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD 657,739 nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD 1,222,477