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#### Positive-definite Symmetric Matrices -- Coercion and MethodssetAs("dpoMatrix", "dppMatrix",function(from) as(as(from, "dspMatrix"), "dppMatrix"))setAs("dpoMatrix", "corMatrix",function(from) {sd <- sqrt(diag(from))if(is.null(names(sd)) && !is.null(nms <- from@Dimnames[[1]]))names(sd) <- nmsIs <- Diagonal(x = 1/sd)new("corMatrix", as(forceSymmetric(Is %*% from %*% Is),"dpoMatrix"),sd = unname(sd))})setAs("corMatrix", "lMatrix",function(from) as(as(from, "dpoMatrix"), "lMatrix"))to_dpo <- function(from) # not't coercing to "dsy*" explicitly:as(as(as(as(from, "symmetricMatrix"), "dMatrix"),"denseMatrix"), "dpoMatrix")setAs("Matrix", "dpoMatrix", to_dpo)setAs("matrix", "dpoMatrix", to_dpo)setMethod("chol", signature(x = "dpoMatrix"),function(x, pivot, ...) .Call(dpoMatrix_chol, x))setMethod("rcond", signature(x = "dpoMatrix", norm = "character"),function(x, norm, ...).Call(dpoMatrix_rcond, x, norm),valueClass = "numeric")setMethod("rcond", signature(x = "dpoMatrix", norm = "missing"),function(x, norm, ...).Call(dpoMatrix_rcond, x, "O"),valueClass = "numeric")setMethod("solve", signature(a = "dpoMatrix", b = "missing"),function(a, b, ...).Call(dpoMatrix_solve, a),valueClass = "dpoMatrix")setMethod("solve", signature(a = "dpoMatrix", b = "dgeMatrix"),function(a, b, ...).Call(dpoMatrix_dgeMatrix_solve, a, b),valueClass = "dgeMatrix")setMethod("solve", signature(a = "dpoMatrix", b = "matrix"),function(a, b, ...).Call(dpoMatrix_matrix_solve, a, b),valueClass = "matrix")## Is this usable / necessary? -- FIXME!## setMethod("solve", signature(a = "dpoMatrix", b = "numeric"),## function(a, b, ...)## as.numeric(.Call(dpoMatrix_matrix_solve,## a, as.matrix(b))),## valueClass = "numeric")