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Chapter 2 The Gaussian Elimination
Chapter 3 Additional Methods for Minimizing the Storage for EFI
Chapter 4 Direct Triangular Decomposition
Chapter 5 The GnussJordan Elimination
Chapter 6 Orthogonalization Methods
algorithm band form band matrix bandwidth BBTF BNTF Boolean Chapter column permutations column vector completes the proof compute corollary corresponding Crout method Dantzig defined denote described desirable forms determine diagonal block diagonal elements digraph elements by unity factored form follows form of inverse forward course Gauss–Jordan elimination Gaussian elimination given matrix graph graph theory identical inner product interchange kth column kth row kth stage kth step labeled large sparse matrices lemma Linear Equations linear programming matrix obtained maximum minimize the fill-in nonzero elements number of nonzero Orchard-Hays orthonormal permutation matrix renumbering replacing resulting matrix RGS method round-off errors rows and columns scheme Section ſº storage stored symmetric Tewarson Theorem Tinney total number transform unflagged rows upper triangular matrix vertex vertices X X X zero