How can I express ||X||_F^2 in terms of Schur complement if X=[1 y^T; y B]?

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How can I solve a maxcut problem in a minimum algorithm?

I have a minimum algorithm (algorithm for a minimum BQP). I want to test the efficacy of the algorithm over G-set data set. Please suggest me how do I proceed.

02 March 2019 8,366 1 View

How to find a vector x where X=x*x' is a known square matrix of order n?

x is a vector and so X=x*xT is a square matrix of order nxn. X is known. Is it possible to know the vector x?

03 April 2017 6,903 2 View

What is the time complexity of inverting a diagonal matrix which is really invertible?

The diagonal elements are non-zero. So inverse of the matrix is easily computed by taking the reciprocals of each elements. Is this the complexity O(n)?

09 October 2016 4,785 1 View

How can I find the inverse of sum of two matrices X and Y, where X is an identity matrix and Y is diagonal matrix?

I want to simplify (I+Y^(-1))^(-1).

11 December 2015 4,109 9 View

How to define an anisotropic material with asymmetric elastic compliance/stiffness matrix in ANSYS APDL?

I need to model an anisotropic material in which the Poisson's ratio ν_12 ≠ ν_21 and so on. Therefore, the elastic compliance matrix wouldn't be a symmetric one. In ANSYS APDL, for TB,ANEL...

09 August 2024 5,048 2 View

Is it true that $\det(V(A))$ may be only $\pm 1$, depending on $n$, for the last symmetric tridiagonal matrix $A$?

One can try to generalize the Vandermonde determinant in the following direction: Let $A$ be any symmetric $n$-order square matrix. Consider its powers' diagonal elements $(A^k)_{ii}$ and...

08 August 2024 6,690 1 View

Usage of internal standards in LC-MS/MS analysis?

Have you ever seen a LC-MS/MS method uses both internal standards and external standards (in matrix matching purpose) but the concentrations of internal standards are outside the calibration curve...

05 August 2024 3,084 6 View

How to report results of Generalised Linear Mixed Models in a journal article?

Hi everyone, If you have written or come across any papers where Generalised Linear Mixed Models are used to examine intervention (e.g., in mental health) efficacy, could you please share the...

04 August 2024 4,130 4 View

Request a single Lecture notes for math as detailed as this that I can find in one place?

- The Existence/Uniqueness of Solutions to Higher Order Linear Differential Equations - Higher Order Homogenous Differential Equations - Wronskian Determinants of $n$ Functions - Wronskian...

03 August 2024 2,366 0 View

Tissue homogenization in mouse with FastPrep-24™ 5G - is the D matrix system useful?

I need to lyse and homogenise mouse tissues. So far I have experimented with liver and lung tissue, using matrix D. The liver was completely lysed with 6 repetitions of the standard program, but...

31 July 2024 9,186 0 View

Is it true that science is leaving the era of mathematics and entering the era of matrix mechanics?

We assume this to be true. Science leaves the era of mathematics and enters the era of matrix mechanics and the turning point is the discovery of numerical statistical theory called Cairo...

31 July 2024 3,900 2 View

Normality assumption for linear regression is The assumption of normality is whether for residual errors or predictor variavble?

When we conduct linear regression, there are several assumptions. The assumption of normality is whether the residual errors are normally distributed, not whether a predictor is normal?

31 July 2024 6,164 3 View

Posthoc test lettering in JAMOVI?

Does anyone know of a module for the JAMOVI software that is capable of generating mean separations using the classic letters based on post hoc results (e.g., Tukey test)? If, as I believe, such...

31 July 2024 3,333 4 View

Help on understanding the implementation of Mori Tanaka method on MATLAB?

I am new to Micromechanics and having similar problem with understanding the implementation of the formula's. I would appreciate if anyone can guide me on how to go about getting a scalar value...

30 July 2024 969 0 View