triangular matrices

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1: 13.27 Mathematical Applications

§13.27 Mathematical Applications

►Confluent hypergeometric functions are connected with representations of the group of third-order triangular matrices. … …

2: 1.3 Determinants, Linear Operators, and Spectral Expansions

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Determinants of Upper/Lower Triangular and Diagonal Matrices

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3: 1.2 Elementary Algebra

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Multiplication of Matrices

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§1.2(vi) Square Matrices

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Special Forms of Square Matrices

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Norms of Square Matrices

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Non-Defective Square Matrices

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4: 3.2 Linear Algebra

… ►This yields a lower triangular matrix of the form …If we denote by $𝐔$ the upper triangular matrix comprising the elements $u_{jk}$ in (3.2.3), then we have the factorization, or triangular decomposition, … ►We solve the system $𝐀𝛿𝐱=𝐫$ for $𝛿𝐱$, taking advantage of the existing triangular decomposition of $𝐀$ to obtain an improved solution $𝐱+𝛿𝐱$. … ►Tridiagonal matrices are ones in which the only nonzero elements occur on the main diagonal and two adjacent diagonals. … ►The $p$-norm of a matrix $𝐀=[a_{jk}]$ is …