computer-graphics-mass-spring-systems
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How should I compute for Q and b value with sparse matrix?
Can I directly follow the provided equation as shown in the picture? (with matrices such as A, M already converted to sparse matrix)

Or should I compute the value for each i j? If so, how should I compute those values?
Take a look at this page, which describes how Eigen's sparse matrices work.
Dose it mean I can use the matrix products and basic operations listed in that page?
yes, you may use matrix products etc.