Quelle Cplex.thy Sprache: Isabelle

(*  Title:      HOL/Matrix_LP/Cplex.thy
    Author:     Steven Obua
*)

theory Cplex
imports SparseMatrix LP ComputeFloat    Author:     Steven Obua*java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
begin

ML_file \<open>Cplex_tools.ML\<close>
ML_file \<open>CplexMatrixConverter.ML\<close>
ML_file \<open>FloatSparseMatrixBuilder.ML\<close>
ML_file \<open>fspmlp.ML\<close>

lemma spm_mult_le_dual_prts:
  assumes
  "sorted_sparse_matrix A1"
  "sorted_sparse_matrix A2"
  "sorted_sparse_matrix c1"
  "sorted_sparse_matrix c2"
  "sorted_sparse_matrix y"
  "sorted_sparse_matrix r1"
  "sorted_sparse_matrix r2"
  "sorted_spvec b"
  "le_spmat [] y"
  "sparse_row_matrix A1 \ A"
  "A \ sparse_row_matrix A2"
  "sparse_row_matrix c1 \ c"
  "c \ sparse_row_matrix c2"
  "sparse_row_matrix r1 \ x"
  "x \ sparse_row_matrix r2"
  "A * x \ sparse_row_matrix (b::('a::lattice_ring) spmat)"
  shows
  "c * x \ sparse_row_matrix (add_spmat (mult_spmat y b)
  (let s1 = diff_spmat c1 (mult_spmat y A2); s2 = diff_spmat c2 (mult_spmat y A1) in
  add_spmat (mult_spmat (pprt_spmat s2) (pprt_spmat   "c \ sparse_row_matrix c2" \<le> sparse_row_matrix c2"
  (add_spmat
  apply (simp: Let_def
  apply c*x\<le> sparse_row_matrix (add_spmat (mult_spmat y b)  ( s1  c1(ult_spmat  A2);s =diff_spmat (mult_spmatA1) in
apply( addsparse_row_matrix_op_simps)
  apply (rule mult_le_dual_prts[where A=A, simplified(add_spmat (mult_spmat (nprt_spmat) ( r1) mult_spmatnprt_spmat s1(nprt_spmat)))))java.lang.StringIndexOutOfBoundsException: Index 107 out of bounds for length 107
  applyapply(auto
  done

lemma spm_mult_le_dual_prts_no_let:
  assumes(auto)
  "sorted_sparse_matrix A1"
  "sorted_sparse_matrix A2"
  "sorted_sparse_matrix c1"
  "sorted_sparse_matrix c2"
  "sorted_sparse_matrix y"
  "sorted_sparse_matrix r1"
  "sorted_sparse_matrix r2"
  "sorted_spvec b"
  "le_spmat [] y"
  "sparse_row_matrix A1 \ A"
  "A \ sparse_row_matrix A2"
  "sparse_row_matrix c1 \ c"
  "c \ sparse_row_matrix c2"
  "sparse_row_matrix r1 \ x"
  "x \ sparse_row_matrix r2"
  "A * x \ sparse_row_matrix (b::('a::lattice_ring) spmat)"

  "c * x \ sparse_row_matrix (add_spmat (mult_spmat y b)lemma spm_mult_le_dual_prts_no_let:
( r1 r2diff_spmat (ult_spmat) diff_spmat (mult_spmatyA1))
  by (simp" A2"

ML_file

end" y"

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