dtrMatrix-class {Matrix}R Documentation

Triangular, dense, numeric matrices

Description

The "dtrMatrix" class is the class of triangular, dense, numeric matrices in nonpacked storage. The "dtpMatrix" class is the same except in packed storage.

Objects from the Class

Objects can be created by calls of the form new("dtrMatrix", ...).

Slots

uplo:

Object of class "character". Must be either "U", for upper triangular, and "L", for lower triangular.

diag:

Object of class "character". Must be either "U", for unit triangular (diagonal is all ones), or "N"; see triangularMatrix.

x:

Object of class "numeric". The numeric values that constitute the matrix, stored in column-major order.

Dim:

Object of class "integer". The dimensions of the matrix which must be a two-element vector of non-negative integers.

Extends

Class "ddenseMatrix", directly. Class "triangularMatrix", directly. Class "Matrix" and others, by class "ddenseMatrix".

Methods

%*%

signature(x = "dtrMatrix", y = "matrix") and other signatures (use showMethods("%*%", class="dtrMatrix")): matrix multiplication. Multiplication of (matching) triangular matrices now should remain triangular (in the sense of class triangularMatrix).

crossprod,tcrossprod

signature(x = "dtrMatrix", y = "matrix") and other signatures, see "%*%" above.

coerce

signature(from = "dgeMatrix", to = "dtrMatrix")

coerce

signature(from = "dtrMatrix", to = "matrix")

coerce

signature(from = "dtrMatrix", to = "ltrMatrix")

coerce

signature(from = "dtrMatrix", to = "matrix")

coerce

signature(from = "matrix", to = "dtrMatrix")

norm

signature(x = "dtrMatrix", type = "character")

rcond

signature(x = "dtrMatrix", norm = "character")

solve

signature(a = "dtrMatrix", b = "missing")

solve

signature(a = "dtrMatrix", b = "matrix")

+, -, *, ..., ==, >=, ...

all the Ops group methods are available. When applied to two triangular matrices, these return a triangular matrix when easily possible.

See Also

Classes ddenseMatrix, dtpMatrix, triangularMatrix

Examples

(m <- rbind(2:3, 0:-1))
(M <- as(m, "dgeMatrix"))

(T <- as(M, "dtrMatrix")) ## upper triangular is default
(T2 <- as(t(M), "dtrMatrix"))
stopifnot(T@uplo == "U", T2@uplo == "L", identical(T2, t(T)))

[Package Matrix version 1.0-12 Index]