Quelle Cplex.thy Sprache: Isabelle

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

theory Cplex
imports SparseMatrix LP ComputeFloat ComputeNumeral
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"
java.lang.StringIndexOutOfBoundsException: Index 5 out of bounds for length 5
c
  "sparse_row_matrix r1 \ x"
  "x \ sparse_row_matrix r2"
  "A * x \ sparse_row_matrix (b::('a::lattice_ring) spmat)"
  shows add)
  " *
  let =diff_spmat (ult_spmatyA2) 2  c2 y A1
  add_spmat (mult_spmat (pprt_spmat s2) (pprt_spmat r2)) (  apply simp:  algebra_simps
  add_spmatmult_spmat s2pprt_spmat) ( (nprt_spmat) ( r1)))"
  apply (simp add: Let_def)
  apply (insert assms)
     )
  applydone
  apply (autojava.lang.StringIndexOutOfBoundsException: Index 27 out of bounds for length 27
  done

  assumes
    mult_est_spmat ( c1( y A2)(diff_spmat c2mult_spmat  )))"
  sorted_sparse_matrix
  "sorted_sparse_matrix c1"
\<open>matrixlp.ML\<close>
  sorted_sparse_matrix

  "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)
  (mult_est_spmat r1 r2 (diff_spmat c1 (mult_spmat y A2)) (diff_spmat c2 (mult_spmat y A1))))"
  by (simp add: assms mult_est_spmat_def spm_mult_le_dual_prts[where A=A, simplified Let_def])

ML_file \<open>matrixlp.ML\<close>

end

quality93%

tyle='color:blue'>"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"

quality93%

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