Processing file : K:\0000-0000\indirect\p0010.txt Line 30 - <3.14159... > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0014.txt Line 3 - <1.1 Basic Notation and Terminology > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0016.txt Line 2 - <1.2 Operations Relating Matrices > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0017.txt Line 14 - <1.3 Inequality Relations Between Matrices > Line 23 - <1.4 Operations Related to Individual Matrices > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0019.txt Line 11 - <4.2 for the properties of determinants). > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0022.txt Line 2 - <1.5 Some Special Matrices > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0023.txt Line 25 - <9.9.) > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0024.txt Line 7 - <9.12). > Line 28 - <1.6 Some Terms and Quantities Related to Matrices > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0025.txt Line 28 - <5.1). > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0027.txt Line 5 - <2.1 Rules Related to Matrix Sums and Differences > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0028.txt Line 18 - <2.2 Rules Related to Matrix Multiplication > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0030.txt Line 8 - <2.3 Rules Related to Multiplication by a Scalar > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0031.txt Line 9 - <2.4 Rules for the Kronecker Product > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0032.txt Line 27 - <2.5 Rules for the Hadamard Product > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0034.txt Line 2 - <2.6 Rules for Direct Sums > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0035.txt Line 6 - <3.1 The Transpose > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0036.txt Line 28 - <3.2 The Conjugate > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0037.txt Line 28 - <3.3 The Conjugate Transpose > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0039.txt Line 2 - <3.4 The Adjoint of a Square Matrix > Line 73 - <3.5 The Inverse of a Square Matrix > Line 76 - <3.5.1 General Results > Found 3 occurrences. Processing file : K:\0000-0000\indirect\p0040.txt Line 29 - <3.5.2 Inverses Involving Sums and Differences > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0041.txt Line 38 - <3.5.3 Partitioned Inverses > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0043.txt Line 5 - <3.5.4 Inverses Involving Commutation, Duplication and > Line 11 - <9.5). > Line 13 - <9.6). > Found 3 occurrences. Processing file : K:\0000-0000\indirect\p0044.txt Line 4 - <3.6 Generalized Inverses > Line 7 - <3.6.1 General Results > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0046.txt Line 2 - <3.6.2 The Moore-Penrose Inverse > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0049.txt Line 9 - <3.7 Matrix Powers > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0051.txt Line 42 - <3.8 The Absolute Value > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0053.txt Line 3 - <4.1 The Trace > Line 7 - <4.1.1 General Results > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0055.txt Line 9 - <4.1.2 Inequalities Involving the Trace > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0057.txt Line 6 - <4.1.3 Optimization of Functions Involving the Trace > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0059.txt Line 13 - <4.2 The Determinant > Line 19 - <4.2.1 General Results > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0061.txt Line 35 - <4.2.2 Determinants of Partitioned Matrices > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0063.txt Line 2 - <4.2.3 Determinants Involving Duplication Matrices > Line 4 - <9.5 for more details). > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0064.txt Line 7 - <4.2.4 Determinants Involving Elimination Matrices > Line 9 - <9.6 for more details). > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0065.txt Line 19 - <4.2.5 Determinants Involving Both Duplication and Elimination > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0066.txt Line 18 - <4.2.6 Inequalities Related to Determinants > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0068.txt Line 15 - <4.2.7 Optimization of Functions Involving a Determinant > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0070.txt Line 2 - <4.3 The Rank of a Matrix > Line 8 - <4.3.1 > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0072.txt Line 5 - <4.3.2 Matrix Decompositions Related to the Rank > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0073.txt Line 10 - <4.3.3 Inequalities Related to the Rank > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0074.txt Line 4 - <5.1 Definitions > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0075.txt Line 16 - <5.2 Properties of Eigenvalues and Eigenvectors > Line 22 - <5.2.1 General Results > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0078.txt Line 13 - <5.2.2 Optimization Properties of Eigenvalues > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0080.txt Line 17 - <5.2.3 Matrix Decompositions Involving Eigenvalues > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0083.txt Line 17 - <5.3 Eigenvalue Inequalities > Line 18 - <5.3.1 Inequalities for the Eigenvalues of a Single Matrix > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0085.txt Line 2 - <5.3.2 Relations Between Eigenvalues of More Than One Matrix > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0087.txt Line 7 - <5.4 Results for the Spectral Radius > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0089.txt Line 26 - <5.5 Singular Values > Line 30 - <5.5.1 General Results > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0091.txt Line 16 - <5.5.2 Inequalities > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0093.txt Line 5 - <6.1 Complex Matrix Decompositions > Line 6 - <6.1.1 Jordan Type Decompositions > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0094.txt Line 8 - <3.2 1 > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0095.txt Line 2 - <6.1.2 Diagonal Decompositions > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0096.txt Line 26 - <6.1.3 Other Triangular Decompositions and Factorizations > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0098.txt Line 4 - <6.1.4 Miscellaneous Decompositions > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0099.txt Line 3 - <6.2 Real Matrix Decompositions > Line 4 - <6.2.1 Jordan Decompositions > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0100.txt Line 13 - <6.2.2 Other Real Block Diagonal and Diagonal Decompositions > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0102.txt Line 2 - <6.2.3 Other Triangular and Miscellaneous Reductions > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0104.txt Line 3 - <7.1 Definitions > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0106.txt Line 25 - <7.2 Rules for the vec Operator > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0108.txt Line 16 - <7.3 Rules for the vech Operator > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0110.txt Line 3 - <8.1 General Definitions > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0112.txt Line 12 - <8.2 Specific Norms and Inner Products > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0113.txt Line 9 - <8.3 Results for General Norms and Inner Products > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0115.txt Line 2 - <8.4 Results for Matrix Norms > Line 3 - <8.4.1 General Matrix Norms > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0117.txt Line 2 - <8.4.2 Induced Matrix Norms > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0118.txt Line 10 - <8.5 Properties of Special Norms > Line 11 - <8.5.1 General Results > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0120.txt Line 4 - <8.5.2 Inequalities > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0122.txt Line 3 - <9.1 Circulant Matrices > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0124.txt Line 48 - <9.2 Commutation Matrices > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0125.txt Line 2 - <9.2.1 General Properties > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0126.txt Line 3 - <9.2.2 Kronecker Products > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0127.txt Line 38 - <9.2.3 Relations With Duplication and Elimination Matrices > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0128.txt Line 4 - <9.3 Convergent Matrices > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0129.txt Line 8 - <9.4 Diagonal Matrices > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0131.txt Line 8 - <9.5 Duplication Matrices > Line 24 - <9.5.1 General Properties > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0132.txt Line 14 - <9.5.2 Relations With Commutation and Elimination Matrices > Line 23 - <9.5.3 Expressions With vec and vech Operators > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0133.txt Line 5 - <9.5.4 Duplication Matrices and Kronecker Products > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0135.txt Line 3 - <9.5.5 Duplication Matrices, Elimination Matrices and Kronecker > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0136.txt Line 5 - <9.6 Elimination Matrices > Line 25 - <9.6.1 General Properties > Line 35 - <9.6.2 Relations With Commutation and Duplication Matrices > Found 3 occurrences. Processing file : K:\0000-0000\indirect\p0137.txt Line 9 - <9.6.3 Expressions With vec and vech Operators > Line 18 - <9.6.4 Elimination Matrices and Kronecker Products > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0139.txt Line 3 - <9.6.5 Elimination Matrices, Duplication Matrices and Kronecker > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0140.txt Line 2 - <9.7 Hermitian Matrices > Line 16 - <9.7.1 General Results > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0142.txt Line 10 - <9.7.2 Eigenvalues of Hermitian Matrices > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0143.txt Line 8 - <9.7.3 Eigenvalue Inequalities > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0146.txt Line 9 - <9.7.4 Decompositions of Hermitian Matrices > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0147.txt Line 2 - <9.8 Idempotent Matrices > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0148.txt Line 12 - <9.9 Nonnegative, Positive and Stochastic Matrices > Line 14 - <9.9.1 Definitions > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0149.txt Line 3 - <9.9.2 General Results > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0150.txt Line 5 - <9.9.3 Results Related to the Spectral Radius > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0151.txt Line 30 - <9.10 Orthogonal Matrices > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0152.txt Line 2 - <9.10.1 General Results > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0153.txt Line 11 - <9.10.2 Decompositions of Orthogonal Matrices > Line 27 - <9.11 Partitioned Matrices > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0154.txt Line 10 - <9.11.1 General Results > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0155.txt Line 30 - <9.11.2 Determinants of Partitioned Matrices > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0156.txt Line 18 - <9.11.3 Partitioned Inverses > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0157.txt Line 39 - <9.11.4 Partitioned Generalized Inverses > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0158.txt Line 32 - <9.11.5 Partitioned Matrices Related to Duplication Matrices > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0159.txt Line 30 - <9.12 Positive Definite, Negative Definite and Semidefinite > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0160.txt Line 8 - <9.12.1 General Properties > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0162.txt Line 3 - <9.12.2 Eigenvalue Results > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0163.txt Line 17 - <9.12.3 Decomposition Theorems for Definite Matrices > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0165.txt Line 3 - <9.13 Symmetric Matrices > Line 17 - <9.13.1 General Properties > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0166.txt Line 32 - <9.13.2 Symmetry and Duplication Matrices > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0167.txt Line 15 - <9.13.3 Eigenvalues of Symmetric Matrices > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0168.txt Line 32 - <9.13.4 Eigenvalue Inequalities > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0172.txt Line 3 - <9.13.5 Decompositions of Symmetric and Skew-Symmetric > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0173.txt Line 3 - <9.14 Triangular Matrices > Line 16 - <9.14.1 Properties of General Triangular Matrices > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0174.txt Line 12 - <9.14.2 Triangularity, Elimination and Duplication Matrices > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0176.txt Line 2 - <9.14.3 Properties of Strictly Triangular Matrices > Line 24 - <9.15 Unitary Matrices > Found 2 occurrences. Processing file : K:\0000-0000\indirect\p0203.txt Line 18 - <8.2). > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0212.txt Line 9 - <8.3)). (9) is, e.g., given in Liitkepohl A991, Appendix A, Sec. A.13). > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0231.txt Line 18 - <3.8.) > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0237.txt Line 32 - <5.1 for more details.) > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0241.txt Line 50 - <3.2 for the properties.) > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0242.txt Line 19 - <3.3 for the properties and further details.) > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0244.txt Line 8 - <4.2 for the properties.) > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0251.txt Line 35 - <3.6 for the properties.) > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0253.txt Line 14 - <9.12 for the properties.) > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0258.txt Line 28 - <5.1.) > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0261.txt Line 16 - <3.2 1 > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0277.txt Line 21 - <3.5 and 3.6.) > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0281.txt Line 26 - <5.1.) > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0288.txt Line 27 - <9.15.) > Found 1 occurrences. Processing file : K:\0000-0000\indirect\p0290.txt Line 14 - <7.2 for the rules.) > Found 1 occurrences. Searched 300 file(s), found 153 occurrences in 123 file(s)