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Eigenvalue decomposition of a certain symmetric tridiagonal matrix

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#linear-algebra #eigenvalues-eigenvectors #numerical-linear-algebra
90
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Power Method for computing dominant eigenvector

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#numerical-methods #numerical-linear-algebra
887
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Computational costs of different methods of solving systems of linear equations

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#linear-algebra #matrices #systems-of-equations #numerical-linear-algebra #computational-complexity
298
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How to make the eigenvalue of this matrix inside or on the unit circle?

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#linear-algebra #matrices #numerical-linear-algebra
32
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Construct a block matrix whose inverse will give the product of two matrices

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#linear-algebra #matrices #numerical-linear-algebra
194
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Does it hold that $\kappa(A^2) = \kappa(A)^2$?

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#linear-algebra #matrices #numerical-methods #numerical-linear-algebra #condition-number
3.1k
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Perturbation Theory: Approximation of an inverse of a matrix

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#linear-algebra #matrices #numerical-methods #numerical-linear-algebra #perturbation-theory
3.2k
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What is the complexity of the LU factorization?

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#linear-algebra #numerical-linear-algebra #computational-science
122
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Computationally inexpensive comparison between two matrices

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#linear-algebra #matrices #numerical-linear-algebra
1.9k
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PAQ=LU decomposition

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#linear-algebra #numerical-methods #numerical-linear-algebra #gaussian-elimination
100
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Finding matrix inverses in parallell by C-G column-by-column?

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#reference-request #computer-science #inverse #numerical-linear-algebra #computational-mathematics
51
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Intuitive understanding of matrix bandwidth implications

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#matrices #numerical-linear-algebra #matrix-decomposition
819
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Finding a block matrix factorization

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#linear-algebra #matrices #numerical-methods #numerical-linear-algebra #matrix-decomposition
53
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What is the name/background of this function, $ \phi (x) = \frac{1}{2}x^T Ax - x^T b $?

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#linear-algebra #systems-of-equations #numerical-linear-algebra
512
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Can I call a tridiagonal matrix "Toeplitz" when each diagonal consists of same elements?

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#matrices #ordinary-differential-equations #numerical-methods #numerical-linear-algebra

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