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Positive definite solution of Homogeneous Lyapunov equation

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#matrices #matrix-equations #numerical-linear-algebra #control-theory #linear-control
598
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Approximation of the norm of the Gauss-Seidel recursive matrix $B_{GS}$ (and errors)

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#numerical-methods #systems-of-equations #normed-spaces #numerical-linear-algebra #recursion
367
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Why linear congruential generator is called random number generator?

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#numerical-linear-algebra #random #philosophy #congruence-relations
3.5k
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Prove that dual norm is also a norm

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#linear-algebra #optimization #numerical-linear-algebra
225
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Whether or not is $J^TJ+\lambda \operatorname{diag}(J^TJ)$ guaranteed to be invertible?

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#numerical-linear-algebra #nonlinear-optimization #least-squares
92
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Proving that for the iterative Richardson method : $r^{(k)} = \prod_{j=0}^{k-1} (I-a_jA)r^{(0)}$

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#reference-request #numerical-methods #numerical-linear-algebra #products
228
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How to show this function is convex? is there any simpler way than Hessian computation?

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#linear-algebra #convex-analysis #numerical-linear-algebra
1k
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Conditioning of the linear systems in the inverse or Rayleigh quotient iteration algorithms

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#linear-algebra #numerical-linear-algebra #floating-point
110
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Easily parallelizable LU decomposition algorithm?

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#linear-algebra #numerical-methods #algorithms #determinant #numerical-linear-algebra
311
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solve $XA = B$ in MATLAB

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#linear-algebra #numerical-methods #numerical-linear-algebra #singularity #inverse-problems
156
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Approximation of the norm of the powers of this random matrix

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#linear-algebra #probability #numerical-linear-algebra #random-matrices
252
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Matrix Condition Number Definition

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#numerical-linear-algebra
143
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Finding the best 1-rank approximation

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#numerical-linear-algebra
138
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References for iterative methods for linear systems

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#reference-request #optimization #numerical-methods #numerical-linear-algebra
40
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why its paradoxical to try make $a$ the subject of $(a-b)/(b-a) = c?$

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#numerical-linear-algebra

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