# qrSolve: LSE Solution

### Description

Systems of linear equations via QR decomposition.

### Usage

 1 qrSolve(A, b)

### Arguments

 A numerical matrix with nrow(A)>=ncol(A). b numerical vector with length(b) == nrow(A).

### Details

Solves (overdetermined) systems of linear equations via QR decomposition.

### Value

The solution of the system as vector.

### References

Trefethen, L. N., and D. Bau III. (1997). Numerical Linear Algebra. SIAM, Society for Industrial and Applied Mathematics, Philadelphia.

### Examples

 1 2 3 4 5 6 7 8 9 A <- matrix(c(0,-4,2, 6,-3,-2, 8,1,-1), 3, 3, byrow=TRUE) b <- c(-2, -6, 7) qrSolve(A, b) ## Solve an overdetermined linear system of equations A <- matrix(c(1:8,7,4,2,3,4,2,2), ncol=3, byrow=TRUE) b <- rep(6, 5) x <- qrSolve(A, b) qr.solve(A, rep(6, 5)); x

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