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Minimum norm solution to a (fake) overdetermined system which is actually underdetermined

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#linear-algebra #systems-of-equations #numerical-linear-algebra #matrix-decomposition
90
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Forcing symmetric solution to matrix equation

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#matrices #systems-of-equations #matrix-equations #numerical-linear-algebra #symmetric-matrices
75
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Globalized BFGS (Quasi-Newton method) condition

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#linear-algebra #numerical-methods #numerical-linear-algebra #numerical-optimization
767
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Solving Linear Equations Using Iteration

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#linear-algebra #matrix-equations #numerical-linear-algebra
116
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$SVD$ decomposition

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#numerical-linear-algebra #matrix-decomposition #svd
1.3k
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Why does this Matrix not converge with the Power Method?

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#numerical-methods #eigenvalues-eigenvectors #numerical-linear-algebra
4.7k
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When solving a linear system, why SVD is preferred over QR to make the solution more stable?

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#linear-algebra #numerical-methods #numerical-linear-algebra #least-squares #svd
46
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Showing a Chebyshev set

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#numerical-methods #numerical-linear-algebra #numerical-optimization #chebyshev-polynomials
66
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Number of operations needed to solve tridiagonal linear system

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#linear-algebra #matrices #numerical-linear-algebra #gaussian-elimination #tridiagonal-matrices
927
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Eigendecomposition of rank-deficient rank-$1$ update

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#matrices #eigenvalues-eigenvectors #numerical-linear-algebra #projection-matrices #hamel-basis
133
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How to make use of this iterative scheme for solving the neutron diffusion equation?

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#numerical-methods #matrix-equations #numerical-linear-algebra #finite-differences
86
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$\lambda_{max}$ in trust region method: Leveberg-Marquardt algorithm

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#optimization #algorithms #numerical-linear-algebra #nonlinear-optimization #numerical-optimization
27
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Is the a.c.s. notion invariant under change of norm?

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#linear-algebra #matrices #numerical-linear-algebra
103
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Is gaussian elimination "used"?

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#algorithms #numerical-linear-algebra #applications
1.4k
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How to solve $Ax=b$ wihout inverting $A$?

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#linear-algebra #inverse #numerical-linear-algebra #pseudoinverse #lu-decomposition

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